104648160 has 96 divisors (see below), whose sum is σ = 344010240. Its totient is φ = 26690048.

The previous prime is 104648147. The next prime is 104648189. The reversal of 104648160 is 61846401.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6301 + ... + 15779.

It is an arithmetic number, because the mean of its divisors is an integer number (3583440).

Almost surely, 2^104648160 is an apocalyptic number.

104648160 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 104648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172005120).

104648160 is an abundant number, since it is smaller than the sum of its proper divisors (239362080).

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

104648160 is a wasteful number, since it uses less digits than its factorization.

104648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 104648160 is about 10229.7683258224. The cubic root of 104648160 is about 471.2418644098.

The spelling of 104648160 in words is "one hundred four million, six hundred forty-eight thousand, one hundred sixty".