100553360 has 20 divisors (see below), whose sum is σ = 233786748. Its totient is φ = 40221312.

The previous prime is 100553329. The next prime is 100553371. The reversal of 100553360 is 63355001.

It can be written as a sum of positive squares in 2 ways, for example, as 29724304 + 70829056 = 5452^2 + 8416^2 .

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

It is a super-2 number, since 2×100553360² = 20221956414579200, which contains 22 as substring.

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, 628379 + ... + 628538.

Almost surely, 2^100553360 is an apocalyptic number.

100553360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100553360 is an abundant number, since it is smaller than the sum of its proper divisors (133233388).

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

100553360 is a wasteful number, since it uses less digits than its factorization.

100553360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256930 (or 1256924 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 100553360 is about 10027.6298296257. The cubic root of 100553360 is about 465.0134655213.

The spelling of 100553360 in words is "one hundred million, five hundred fifty-three thousand, three hundred sixty".