100361664 has 126 divisors (see below), whose sum is σ = 311801256. Its totient is φ = 30850560.

The previous prime is 100361609. The next prime is 100361669. The reversal of 100361664 is 466163001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100361669) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96829 + ... + 97859.

Almost surely, 2^100361664 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 100361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155900628).

100361664 is an abundant number, since it is smaller than the sum of its proper divisors (211439592).

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

100361664 is a wasteful number, since it uses less digits than its factorization.

100361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 100361664 is about 10018.0668793934. The cubic root of 100361664 is about 464.7177753261.

It can be divided in two parts, 100361 and 664, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100361664 in words is "one hundred million, three hundred sixty-one thousand, six hundred sixty-four".