107009150976 has 1040 divisors, whose sum is σ = 411138398720. Its totient is φ = 27311800320.

The previous prime is 107009150947. The next prime is 107009150977. The reversal of 107009150976 is 679051900701.

107009150976 is a `hidden beast` number, since 1 + 0 + 70 + 0 + 9 + 1 + 509 + 76 = 666.

It is a super-2 number, since 2×107009150976² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107009150977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3451908081 + ... + 3451908111.

Almost surely, 2^107009150976 is an apocalyptic number.

107009150976 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 107009150976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205569199360).

107009150976 is an abundant number, since it is smaller than the sum of its proper divisors (304129247744).

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

107009150976 is an frugal number, since it uses more digits than its factorization.

107009150976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 107009150976 in words is "one hundred seven billion, nine million, one hundred fifty thousand, nine hundred seventy-six".