100944 has 30 divisors (see below), whose sum is σ = 282906. Its totient is φ = 33600.

The previous prime is 100943. The next prime is 100957. The reversal of 100944 is 449001.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 3600 = 312^2 + 60^2 .

It is a super-2 number, since 2×100944² = 20379382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207 + ... + 494.

2¹⁰⁰⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

100944 is an abundant number, since it is smaller than the sum of its proper divisors (181962).

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

100944 is a wasteful number, since it uses less digits than its factorization.

100944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100944 is about 317.7168550770. The cubic root of 100944 is about 46.5614864725.

Adding to 100944 its reverse (449001), we get a palindrome (549945).

The spelling of 100944 in words is "one hundred thousand, nine hundred forty-four".