10102564087 has 32 divisors (see below), whose sum is σ = 12747538944. Its totient is φ = 7777392000.

The previous prime is 10102564061. The next prime is 10102564099. The reversal of 10102564087 is 78046520101.

It is not a de Polignac number, because 10102564087 - 2²³ = 10094175479 is a prime.

It is a super-2 number, since 2×10102564087² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102564187) 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, 4563993 + ... + 4566205.

It is an arithmetic number, because the mean of its divisors is an integer number (398360592).

Almost surely, 2^10102564087 is an apocalyptic number.

10102564087 is a deficient number, since it is larger than the sum of its proper divisors (2644974857).

10102564087 is a wasteful number, since it uses less digits than its factorization.

10102564087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919.

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 10102564087 in words is "ten billion, one hundred two million, five hundred sixty-four thousand, eighty-seven".