107264521 has 32 divisors (see below), whose sum is σ = 136387328. Its totient is φ = 82114560.

The previous prime is 107264513. The next prime is 107264539. The reversal of 107264521 is 125462701.

It is a 4-Lehmer number, since φ(107264521) divides (107264521-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 107264521 - 2³ = 107264513 is a prime.

It is a deceptive number, since it divides R_107264520.

It is a self number, because there is not a number n which added to its sum of digits gives 107264521.

It is not an unprimeable number, because it can be changed into a prime (107264551) 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, 444961 + ... + 445201.

It is an arithmetic number, because the mean of its divisors is an integer number (4262104).

It is a Poulet number, since it divides 2^107264520-1.

Almost surely, 2^107264521 is an apocalyptic number.

It is an amenable number.

107264521 is a deficient number, since it is larger than the sum of its proper divisors (29122807).

107264521 is a wasteful number, since it uses less digits than its factorization.

107264521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 107264521 is about 10356.8586453615. The cubic root of 107264521 is about 475.1368337086.

It can be divided in two parts, 107 and 264521, that added together give a triangular number (264628 = T₇₂₇).

The spelling of 107264521 in words is "one hundred seven million, two hundred sixty-four thousand, five hundred twenty-one".