100585416 has 32 divisors (see below), whose sum is σ = 255009600. Its totient is φ = 33055680.

The previous prime is 100585399. The next prime is 100585439. The reversal of 100585416 is 614585001.

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, 27811 + ... + 31218.

It is an arithmetic number, because the mean of its divisors is an integer number (7969050).

Almost surely, 2^100585416 is an apocalyptic number.

It is an amenable number.

100585416 is an abundant number, since it is smaller than the sum of its proper divisors (154424184).

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

100585416 is a wasteful number, since it uses less digits than its factorization.

100585416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59109 (or 59105 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 100585416 is about 10029.2280859496. The cubic root of 100585416 is about 465.0628750683.

The spelling of 100585416 in words is "one hundred million, five hundred eighty-five thousand, four hundred sixteen".