107514276912 has 240 divisors, whose sum is σ = 356980262912. Its totient is φ = 30686584320.

The previous prime is 107514276899. The next prime is 107514276923. The reversal of 107514276912 is 219672415701.

107514276912 is a `hidden beast` number, since 107 + 51 + 427 + 69 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42646212 + ... + 42648732.

Almost surely, 2^107514276912 is an apocalyptic number.

107514276912 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 107514276912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178490131456).

107514276912 is an abundant number, since it is smaller than the sum of its proper divisors (249465986000).

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

107514276912 is a wasteful number, since it uses less digits than its factorization.

107514276912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 107514276912 in words is "one hundred seven billion, five hundred fourteen million, two hundred seventy-six thousand, nine hundred twelve".