105124044900 has 72 divisors (see below), whose sum is σ = 347610182080. Its totient is φ = 24028352640.

The previous prime is 105124044877. The next prime is 105124044919. The reversal of 105124044900 is 9440421501.

It is a super-2 number, since 2×105124044900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25027435 + ... + 25031634.

Almost surely, 2^105124044900 is an apocalyptic number.

105124044900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105124044900 is an abundant number, since it is smaller than the sum of its proper divisors (242486137180).

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

105124044900 is a wasteful number, since it uses less digits than its factorization.

105124044900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50059093 (or 50059086 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 105124044900 in words is "one hundred five billion, one hundred twenty-four million, forty-four thousand, nine hundred".