109646464 has 64 divisors (see below), whose sum is σ = 237119400. Its totient is φ = 50298880.

The previous prime is 109646461. The next prime is 109646483. The reversal of 109646464 is 464646901.

It can be written as a sum of positive squares in 4 ways, for example, as 105678400 + 3968064 = 10280^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (109646461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88602 + ... + 89830.

Almost surely, 2^109646464 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 109646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118559700).

109646464 is an abundant number, since it is smaller than the sum of its proper divisors (127472936).

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

109646464 is a wasteful number, since it uses less digits than its factorization.

109646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 109646464 is about 10471.2207502277. The cubic root of 109646464 is about 478.6281198241.

The spelling of 109646464 in words is "one hundred nine million, six hundred forty-six thousand, four hundred sixty-four".