109589480 has 384 divisors, whose sum is σ = 372314880. Its totient is φ = 28385280.

The previous prime is 109589479. The next prime is 109589509. The reversal of 109589480 is 84985901.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4764749 + ... + 4764771.

It is an arithmetic number, because the mean of its divisors is an integer number (969570).

Almost surely, 2^109589480 is an apocalyptic number.

109589480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109589480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

109589480 is an abundant number, since it is smaller than the sum of its proper divisors (262725400).

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

109589480 is a wasteful number, since it uses less digits than its factorization.

109589480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 109589480 is about 10468.4994149114. The cubic root of 109589480 is about 478.5451900454.

The spelling of 109589480 in words is "one hundred nine million, five hundred eighty-nine thousand, four hundred eighty".