102975264 has 108 divisors (see below), whose sum is σ = 340692534. Its totient is φ = 29417472.

The previous prime is 102975263. The next prime is 102975277. The reversal of 102975264 is 462579201.

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 9659664 = 9660^2 + 3108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102975263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10464 + ... + 17760.

Almost surely, 2^102975264 is an apocalyptic number.

102975264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102975264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170346267).

102975264 is an abundant number, since it is smaller than the sum of its proper divisors (237717270).

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

102975264 is a wasteful number, since it uses less digits than its factorization.

102975264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 102975264 is about 10147.6728366656. The cubic root of 102975264 is about 468.7172871038.

The spelling of 102975264 in words is "one hundred two million, nine hundred seventy-five thousand, two hundred sixty-four".