100900944 has 120 divisors (see below), whose sum is σ = 306141120. Its totient is φ = 31814208.

The previous prime is 100900909. The next prime is 100900949. The reversal of 100900944 is 449009001.

It is a super-2 number, since 2×100900944² = 20362001000182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100900949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155629 + ... + 156275.

It is an arithmetic number, because the mean of its divisors is an integer number (2551176).

Almost surely, 2^100900944 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 100900944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153070560).

100900944 is an abundant number, since it is smaller than the sum of its proper divisors (205240176).

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

100900944 is a wasteful number, since it uses less digits than its factorization.

100900944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100900944 is about 10044.9461919913. The cubic root of 100900944 is about 465.5486551947.

Adding to 100900944 its reverse (449009001), we get a palindrome (549909945).

The spelling of 100900944 in words is "one hundred million, nine hundred thousand, nine hundred forty-four".