100972344 has 64 divisors (see below), whose sum is σ = 278288640. Its totient is φ = 30274560.

The previous prime is 100972337. The next prime is 100972351. The reversal of 100972344 is 443279001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100972337) and next prime (100972351).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23637 + ... + 27579.

It is an arithmetic number, because the mean of its divisors is an integer number (4348260).

Almost surely, 2^100972344 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 100972344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139144320).

100972344 is an abundant number, since it is smaller than the sum of its proper divisors (177316296).

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

100972344 is a wasteful number, since it uses less digits than its factorization.

100972344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 100972344 is about 10048.4995894910. The cubic root of 100972344 is about 465.6584405453.

The spelling of 100972344 in words is "one hundred million, nine hundred seventy-two thousand, three hundred forty-four".