100985220 has 72 divisors (see below), whose sum is σ = 350086464. Its totient is φ = 23082048.

The previous prime is 100985201. The next prime is 100985231. The reversal of 100985220 is 22589001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38814 + ... + 41333.

It is an arithmetic number, because the mean of its divisors is an integer number (4862312).

Almost surely, 2^100985220 is an apocalyptic number.

100985220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100985220 is an abundant number, since it is smaller than the sum of its proper divisors (249101244).

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

100985220 is a wasteful number, since it uses less digits than its factorization.

100985220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80169 (or 80164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100985220 is about 10049.1402617338. The cubic root of 100985220 is about 465.6782333024.

The spelling of 100985220 in words is "one hundred million, nine hundred eighty-five thousand, two hundred twenty".