105137791900 has 72 divisors (see below), whose sum is σ = 236625480000. Its totient is φ = 40500122880.

The previous prime is 105137791879. The next prime is 105137791909. The reversal of 105137791900 is 9197731501.

It is a super-2 number, since 2×105137791900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105137791909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081501 + ... + 1174699.

It is an arithmetic number, because the mean of its divisors is an integer number (3286465000).

Almost surely, 2^105137791900 is an apocalyptic number.

105137791900 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 105137791900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118312740000).

105137791900 is an abundant number, since it is smaller than the sum of its proper divisors (131487688100).

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

105137791900 is a wasteful number, since it uses less digits than its factorization.

105137791900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93631 (or 93624 counting only the distinct ones).

The product of its (nonzero) digits is 59535, while the sum is 43.

The spelling of 105137791900 in words is "one hundred five billion, one hundred thirty-seven million, seven hundred ninety-one thousand, nine hundred".