100985664 has 56 divisors (see below), whose sum is σ = 287751520. Its totient is φ = 31071744.

The previous prime is 100985659. The next prime is 100985681. The reversal of 100985664 is 466589001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 17734 + ... + 22725.

It is an arithmetic number, because the mean of its divisors is an integer number (5138420).

Almost surely, 2^100985664 is an apocalyptic number.

It is an amenable number.

100985664 is an abundant number, since it is smaller than the sum of its proper divisors (186765856).

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

100985664 is a wasteful number, since it uses less digits than its factorization.

100985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40487 (or 40477 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 100985664 is about 10049.1623531516. The cubic root of 100985664 is about 465.6789157813.

The spelling of 100985664 in words is "one hundred million, nine hundred eighty-five thousand, six hundred sixty-four".