104617968 has 160 divisors (see below), whose sum is σ = 340978176. Its totient is φ = 26901504.

The previous prime is 104617967. The next prime is 104617969. The reversal of 104617968 is 869716401.

It is an interprime number because it is at equal distance from previous prime (104617967) and next prime (104617969).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104617967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187546 + ... + 188102.

Almost surely, 2^104617968 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 104617968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170489088).

104617968 is an abundant number, since it is smaller than the sum of its proper divisors (236360208).

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

104617968 is a wasteful number, since it uses less digits than its factorization.

104617968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 104617968 is about 10228.2925261258. The cubic root of 104617968 is about 471.1965407817.

The spelling of 104617968 in words is "one hundred four million, six hundred seventeen thousand, nine hundred sixty-eight".