100969664 has 84 divisors (see below), whose sum is σ = 218962224. Its totient is φ = 46166016.

The previous prime is 100969639. The next prime is 100969669. The reversal of 100969664 is 466969001.

It is not an unprimeable number, because it can be changed into a prime (100969669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980237 + ... + 980339.

Almost surely, 2^100969664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109481112).

100969664 is an abundant number, since it is smaller than the sum of its proper divisors (117992560).

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

100969664 is a wasteful number, since it uses less digits than its factorization.

100969664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 100969664 is about 10048.3662353638. The cubic root of 100969664 is about 465.6543206856.

The spelling of 100969664 in words is "one hundred million, nine hundred sixty-nine thousand, six hundred sixty-four".