107111166976 has 132 divisors (see below), whose sum is σ = 237185071200. Its totient is φ = 48307916800.

The previous prime is 107111166971. The next prime is 107111166983. The reversal of 107111166976 is 679661111701.

It is a super-2 number, since 2×107111166976² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107111166971) 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 11 ways as a sum of consecutive naturals, for example, 16228125 + ... + 16234723.

It is an arithmetic number, because the mean of its divisors is an integer number (1796856600).

Almost surely, 2^107111166976 is an apocalyptic number.

107111166976 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 107111166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118592535600).

107111166976 is an abundant number, since it is smaller than the sum of its proper divisors (130073904224).

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

107111166976 is a wasteful number, since it uses less digits than its factorization.

107111166976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 46.

The spelling of 107111166976 in words is "one hundred seven billion, one hundred eleven million, one hundred sixty-six thousand, nine hundred seventy-six".