107364257 has 32 divisors (see below), whose sum is σ = 145044480. Its totient is φ = 76749120.

The previous prime is 107364251. The next prime is 107364259. The reversal of 107364257 is 752463701.

It is not a de Polignac number, because 107364257 - 2²⁰ = 106315681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107364251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283094 + ... + 283472.

It is an arithmetic number, because the mean of its divisors is an integer number (4532640).

Almost surely, 2^107364257 is an apocalyptic number.

It is an amenable number.

107364257 is a deficient number, since it is larger than the sum of its proper divisors (37680223).

107364257 is a wasteful number, since it uses less digits than its factorization.

107364257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 107364257 is about 10361.6725001324. The cubic root of 107364257 is about 475.2840509710.

The spelling of 107364257 in words is "one hundred seven million, three hundred sixty-four thousand, two hundred fifty-seven".