108706464 has 72 divisors (see below), whose sum is σ = 322594272. Its totient is φ = 34657920.

The previous prime is 108706459. The next prime is 108706489. The reversal of 108706464 is 464607801.

108706464 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1582 + ... + 14829.

It is an arithmetic number, because the mean of its divisors is an integer number (4480476).

Almost surely, 2^108706464 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 108706464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161297136).

108706464 is an abundant number, since it is smaller than the sum of its proper divisors (213887808).

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

108706464 is a wasteful number, since it uses less digits than its factorization.

108706464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16450 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 108706464 is about 10426.2392069240. The cubic root of 108706464 is about 477.2564316118.

The spelling of 108706464 in words is "one hundred eight million, seven hundred six thousand, four hundred sixty-four".