105037913880 has 96 divisors (see below), whose sum is σ = 342029057760. Its totient is φ = 27956298240.

The previous prime is 105037913873. The next prime is 105037913927. The reversal of 105037913880 is 88319730501.

105037913880 is a `hidden beast` number, since 1 + 0 + 503 + 7 + 9 + 138 + 8 + 0 = 666.

It is a super-2 number, since 2×105037913880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 92452 + ... + 467571.

It is an arithmetic number, because the mean of its divisors is an integer number (3562802685).

Almost surely, 2^105037913880 is an apocalyptic number.

105037913880 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 105037913880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171014528880).

105037913880 is an abundant number, since it is smaller than the sum of its proper divisors (236991143880).

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

105037913880 is a wasteful number, since it uses less digits than its factorization.

105037913880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560561 (or 560554 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 105037913880 in words is "one hundred five billion, thirty-seven million, nine hundred thirteen thousand, eight hundred eighty".