108444 has 24 divisors (see below), whose sum is σ = 289408. Its totient is φ = 30960.

The previous prime is 108439. The next prime is 108457. The reversal of 108444 is 444801.

It is a super-2 number, since 2×108444² = 23520202272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

108444 is a modest number, since divided by 444 gives 108 as remainder.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 108444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562 + ... + 729.

2¹⁰⁸⁴⁴⁴ is an apocalyptic number.

108444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

108444 is an abundant number, since it is smaller than the sum of its proper divisors (180964).

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

108444 is a wasteful number, since it uses less digits than its factorization.

108444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 108444 is about 329.3083661251. The cubic root of 108444 is about 47.6872021536.

It can be divided in two parts, 1084 and 44, that added together give a triangular number (1128 = T₄₇).

The spelling of 108444 in words is "one hundred eight thousand, four hundred forty-four".