109990584 has 96 divisors (see below), whose sum is σ = 328114800. Its totient is φ = 33008640.

The previous prime is 109990549. The next prime is 109990619. The reversal of 109990584 is 485099901.

It is an interprime number because it is at equal distance from previous prime (109990549) and next prime (109990619).

It is a super-2 number, since 2×109990584² = 24195857137322112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88882 + ... + 90110.

Almost surely, 2^109990584 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 109990584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164057400).

109990584 is an abundant number, since it is smaller than the sum of its proper divisors (218124216).

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

109990584 is a wasteful number, since it uses less digits than its factorization.

109990584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 109990584 is about 10487.6395819078. The cubic root of 109990584 is about 479.1283137982.

The spelling of 109990584 in words is "one hundred nine million, nine hundred ninety thousand, five hundred eighty-four".