101100 has 36 divisors (see below), whose sum is σ = 293384. Its totient is φ = 26880.

The previous prime is 101089. The next prime is 101107. The reversal of 101100 is 1101.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (101107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132 + ... + 468.

2^{101100} is an apocalyptic number.

101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146692).

101100 is an abundant number, since it is smaller than the sum of its proper divisors (192284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100 is a wasteful number, since it uses less digits than its factorization.

101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 101100 is about 317.9622619117. The cubic root of 101100 is about 46.5854596767.

Adding to 101100 its reverse (1101), we get a palindrome (102201).

Subtracting from 101100 its reverse (1101), we obtain a palindrome (99999).

The spelling of 101100 in words is "one hundred one thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 337 674 1011 1348 1685 2022 3370 4044 5055 6740 8425 10110 16850 20220 25275 33700 50550 101100

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