105099370128 has 140 divisors (see below), whose sum is σ = 308162361168. Its totient is φ = 34705298880.

The previous prime is 105099370069. The next prime is 105099370133. The reversal of 105099370128 is 821073990501.

105099370128 is a `hidden beast` number, since 10 + 509 + 9 + 3 + 7 + 0 + 128 = 666.

It is a super-2 number, since 2×105099370128² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1205943 + ... + 1290153.

Almost surely, 2^105099370128 is an apocalyptic number.

105099370128 is a gapful number since it is divisible by the number (18) 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 105099370128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154081180584).

105099370128 is an abundant number, since it is smaller than the sum of its proper divisors (203062991040).

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

105099370128 is an equidigital number, since it uses as much as digits as its factorization.

105099370128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84344 (or 84323 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 105099370128 in words is "one hundred five billion, ninety-nine million, three hundred seventy thousand, one hundred twenty-eight".