107364144 has 40 divisors (see below), whose sum is σ = 278013952. Its totient is φ = 35703360.

The previous prime is 107364139. The next prime is 107364157. The reversal of 107364144 is 441463701.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19809 + ... + 24639.

Almost surely, 2^107364144 is an apocalyptic number.

It is an amenable number.

107364144 is an abundant number, since it is smaller than the sum of its proper divisors (170649808).

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

107364144 is a wasteful number, since it uses less digits than its factorization.

107364144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 107364144 is about 10361.6670473433. The cubic root of 107364144 is about 475.2838842268.

The spelling of 107364144 in words is "one hundred seven million, three hundred sixty-four thousand, one hundred forty-four".