107516964 has 24 divisors (see below), whose sum is σ = 251046208. Its totient is φ = 35814240.

The previous prime is 107516963. The next prime is 107516971. The reversal of 107516964 is 469615701.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (107516963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25794 + ... + 29670.

Almost surely, 2^107516964 is an apocalyptic number.

It is an amenable number.

107516964 is an abundant number, since it is smaller than the sum of its proper divisors (143529244).

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

107516964 is a wasteful number, since it uses less digits than its factorization.

107516964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 107516964 is about 10369.0387211159. The cubic root of 107516964 is about 475.5092805472.

The spelling of 107516964 in words is "one hundred seven million, five hundred sixteen thousand, nine hundred sixty-four".