109890480 has 160 divisors (see below), whose sum is σ = 392832000. Its totient is φ = 24892416.

The previous prime is 109890461. The next prime is 109890493. The reversal of 109890480 is 84098901.

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 31 ways as a sum of consecutive naturals, for example, 250101 + ... + 250539.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 2^109890480 is an apocalyptic number.

109890480 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 109890480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416000).

109890480 is an abundant number, since it is smaller than the sum of its proper divisors (282941520).

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

109890480 is a wasteful number, since it uses less digits than its factorization.

109890480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 109890480 is about 10482.8660203210. The cubic root of 109890480 is about 478.9829158412.

The spelling of 109890480 in words is "one hundred nine million, eight hundred ninety thousand, four hundred eighty".