100218560 has 56 divisors (see below), whose sum is σ = 257013456. Its totient is φ = 37002240.

The previous prime is 100218551. The next prime is 100218581. The reversal of 100218560 is 65812001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7886 + ... + 16205.

It is an arithmetic number, because the mean of its divisors is an integer number (4589526).

Almost surely, 2^100218560 is an apocalyptic number.

100218560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100218560 is an abundant number, since it is smaller than the sum of its proper divisors (156794896).

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

100218560 is a wasteful number, since it uses less digits than its factorization.

100218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24121 (or 24111 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 100218560 is about 10010.9220354571. The cubic root of 100218560 is about 464.4967925211.

It can be divided in two parts, 10021 and 8560, that added together give a palindrome (18581).

The spelling of 100218560 in words is "one hundred million, two hundred eighteen thousand, five hundred sixty".