100553985 has 96 divisors (see below), whose sum is σ = 214306560. Its totient is φ = 42591744.

The previous prime is 100553977. The next prime is 100554011. The reversal of 100553985 is 589355001.

It is a happy number.

100553985 is a `hidden beast` number, since 10 + 0 + 553 + 98 + 5 = 666.

It is not a de Polignac number, because 100553985 - 2³ = 100553977 is a prime.

It is a super-2 number, since 2×100553985² = 20222207798760450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317047 + ... + 317363.

It is an arithmetic number, because the mean of its divisors is an integer number (2232360).

Almost surely, 2^100553985 is an apocalyptic number.

100553985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100553985 is an abundant number, since it is smaller than the sum of its proper divisors (113752575).

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

100553985 is a wasteful number, since it uses less digits than its factorization.

100553985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 100553985 is about 10027.6609934720. The cubic root of 100553985 is about 465.0144289661.

The spelling of 100553985 in words is "one hundred million, five hundred fifty-three thousand, nine hundred eighty-five".