107117764 has 48 divisors (see below), whose sum is σ = 210409920. Its totient is φ = 47376000.

The previous prime is 107117761. The next prime is 107117821. The reversal of 107117764 is 467711701.

It is a super-2 number, since 2×107117764² = 22948430728719392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107117761) 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 15 ways as a sum of consecutive naturals, for example, 378367 + ... + 378649.

It is an arithmetic number, because the mean of its divisors is an integer number (4383540).

Almost surely, 2^107117764 is an apocalyptic number.

It is an amenable number.

107117764 is a deficient number, since it is larger than the sum of its proper divisors (103292156).

107117764 is a wasteful number, since it uses less digits than its factorization.

107117764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 34.

The square root of 107117764 is about 10349.7712052006. The cubic root of 107117764 is about 474.9200441597.

The spelling of 107117764 in words is "one hundred seven million, one hundred seventeen thousand, seven hundred sixty-four".