107049520512 has 256 divisors, whose sum is σ = 345270816000. Its totient is φ = 32382443520.

The previous prime is 107049520493. The next prime is 107049520541. The reversal of 107049520512 is 215025940701.

107049520512 is a `hidden beast` number, since 10 + 70 + 4 + 9 + 520 + 51 + 2 = 666.

It is a super-2 number, since 2×107049520512² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25050408 + ... + 25054680.

It is an arithmetic number, because the mean of its divisors is an integer number (1348714125).

Almost surely, 2^107049520512 is an apocalyptic number.

107049520512 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 107049520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172635408000).

107049520512 is an abundant number, since it is smaller than the sum of its proper divisors (238221295488).

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

107049520512 is a wasteful number, since it uses less digits than its factorization.

107049520512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 107049520512 in words is "one hundred seven billion, forty-nine million, five hundred twenty thousand, five hundred twelve".