109090464 has 96 divisors (see below), whose sum is σ = 334051200. Its totient is φ = 31159296.

The previous prime is 109090451. The next prime is 109090477. The reversal of 109090464 is 464090901.

It is an interprime number because it is at equal distance from previous prime (109090451) and next prime (109090477).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31272 + ... + 34584.

It is an arithmetic number, because the mean of its divisors is an integer number (3479700).

Almost surely, 2^109090464 is an apocalyptic number.

109090464 is a gapful number since it is divisible by the number (14) 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 109090464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167025600).

109090464 is an abundant number, since it is smaller than the sum of its proper divisors (224960736).

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

109090464 is an equidigital number, since it uses as much as digits as its factorization.

109090464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 109090464 is about 10444.6380502150. The cubic root of 109090464 is about 477.8177324838.

The spelling of 109090464 in words is "one hundred nine million, ninety thousand, four hundred sixty-four".