10107838512 has 120 divisors (see below), whose sum is σ = 30040264800. Its totient is φ = 3161733120.

The previous prime is 10107838469. The next prime is 10107838541. The reversal of 10107838512 is 21583870101.

10107838512 is a `hidden beast` number, since 1 + 0 + 107 + 8 + 38 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 848437 + ... + 860267.

It is an arithmetic number, because the mean of its divisors is an integer number (250335540).

Almost surely, 2^10107838512 is an apocalyptic number.

10107838512 is a gapful number since it is divisible by the number (12) 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 10107838512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020132400).

10107838512 is an abundant number, since it is smaller than the sum of its proper divisors (19932426288).

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

10107838512 is a wasteful number, since it uses less digits than its factorization.

10107838512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12211 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 10107838512 in words is "ten billion, one hundred seven million, eight hundred thirty-eight thousand, five hundred twelve".