109300464 has 240 divisors, whose sum is σ = 397196800. Its totient is φ = 27247104.

The previous prime is 109300409. The next prime is 109300487. The reversal of 109300464 is 464003901.

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 47 ways as a sum of consecutive naturals, for example, 248757 + ... + 249195.

Almost surely, 2^109300464 is an apocalyptic number.

109300464 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 109300464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198598400).

109300464 is an abundant number, since it is smaller than the sum of its proper divisors (287896336).

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

109300464 is a wasteful number, since it uses less digits than its factorization.

109300464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 109300464 is about 10454.6862219772. The cubic root of 109300464 is about 478.1241369201.

The spelling of 109300464 in words is "one hundred nine million, three hundred thousand, four hundred sixty-four".