105370105900 has 72 divisors (see below), whose sum is σ = 235007173856. Its totient is φ = 40978483200.

The previous prime is 105370105859. The next prime is 105370105913. The reversal of 105370105900 is 9501073501.

It is a super-2 number, since 2×105370105900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5344060 + ... + 5363740.

Almost surely, 2^105370105900 is an apocalyptic number.

105370105900 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 105370105900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117503586928).

105370105900 is an abundant number, since it is smaller than the sum of its proper divisors (129637067956).

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

105370105900 is a wasteful number, since it uses less digits than its factorization.

105370105900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21179 (or 21172 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 31.

The spelling of 105370105900 in words is "one hundred five billion, three hundred seventy million, one hundred five thousand, nine hundred".