109044864 has 96 divisors (see below), whose sum is σ = 317179200. Its totient is φ = 35956224.

The previous prime is 109044833. The next prime is 109044889. The reversal of 109044864 is 468440901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×109044864³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118197 + ... + 119115.

It is an arithmetic number, because the mean of its divisors is an integer number (3303950).

Almost surely, 2^109044864 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 109044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158589600).

109044864 is an abundant number, since it is smaller than the sum of its proper divisors (208134336).

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

109044864 is a wasteful number, since it uses less digits than its factorization.

109044864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 109044864 is about 10442.4548837905. The cubic root of 109044864 is about 477.7511469963.

It can be divided in two parts, 1090 and 44864, that added together give a palindrome (45954).

The spelling of 109044864 in words is "one hundred nine million, forty-four thousand, eight hundred sixty-four".