103564880 has 20 divisors (see below), whose sum is σ = 240788532. Its totient is φ = 41425920.

The previous prime is 103564871. The next prime is 103564897. The reversal of 103564880 is 88465301.

It can be written as a sum of positive squares in 2 ways, for example, as 17372224 + 86192656 = 4168^2 + 9284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×103564880³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 103564880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 647201 + ... + 647360.

Almost surely, 2^103564880 is an apocalyptic number.

103564880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103564880 is an abundant number, since it is smaller than the sum of its proper divisors (137223652).

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

103564880 is a wasteful number, since it uses less digits than its factorization.

103564880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294574 (or 1294568 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 103564880 is about 10176.6831531693. The cubic root of 103564880 is about 469.6101792596.

The spelling of 103564880 in words is "one hundred three million, five hundred sixty-four thousand, eight hundred eighty".