105055900 has 36 divisors (see below), whose sum is σ = 235332160. Its totient is φ = 40665600.

The previous prime is 105055897. The next prime is 105055901. The reversal of 105055900 is 9550501.

It is a super-2 number, since 2×105055900² = 22073484249620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13845 + ... + 20044.

Almost surely, 2^105055900 is an apocalyptic number.

105055900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055900 is an abundant number, since it is smaller than the sum of its proper divisors (130276260).

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

105055900 is a wasteful number, since it uses less digits than its factorization.

105055900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33934 (or 33927 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 25.

The square root of 105055900 is about 10249.6780437241. The cubic root of 105055900 is about 471.8531035261.

The spelling of 105055900 in words is "one hundred five million, fifty-five thousand, nine hundred".