107402270976 has 1728 divisors, whose sum is σ = 460529879040. Its totient is φ = 23828152320.

The previous prime is 107402270959. The next prime is 107402270981. The reversal of 107402270976 is 679072204701.

107402270976 is a `hidden beast` number, since 107 + 402 + 2 + 70 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2497727211 + ... + 2497727253.

Almost surely, 2^107402270976 is an apocalyptic number.

107402270976 is a gapful number since it is divisible by the number (16) 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 107402270976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230264939520).

107402270976 is an abundant number, since it is smaller than the sum of its proper divisors (353127608064).

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

107402270976 is a wasteful number, since it uses less digits than its factorization.

107402270976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 107402270976 in words is "one hundred seven billion, four hundred two million, two hundred seventy thousand, nine hundred seventy-six".