109284864 has 120 divisors (see below), whose sum is σ = 316008792. Its totient is φ = 33546240.

The previous prime is 109284863. The next prime is 109284883. The reversal of 109284864 is 468482901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109284863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259374 + ... + 259794.

Almost surely, 2^109284864 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 109284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158004396).

109284864 is an abundant number, since it is smaller than the sum of its proper divisors (206723928).

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

109284864 is an equidigital number, since it uses as much as digits as its factorization.

109284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 109284864 is about 10453.9401184434. The cubic root of 109284864 is about 478.1013889490.

The spelling of 109284864 in words is "one hundred nine million, two hundred eighty-four thousand, eight hundred sixty-four".