104517864 has 240 divisors, whose sum is σ = 339884160. Its totient is φ = 29937600.

The previous prime is 104517857. The next prime is 104517877. The reversal of 104517864 is 468715401.

It is a happy number.

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

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 59 ways as a sum of consecutive naturals, for example, 2430627 + ... + 2430669.

It is an arithmetic number, because the mean of its divisors is an integer number (1416184).

Almost surely, 2^104517864 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 104517864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169942080).

104517864 is an abundant number, since it is smaller than the sum of its proper divisors (235366296).

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

104517864 is a wasteful number, since it uses less digits than its factorization.

104517864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 104517864 is about 10223.3978695931. The cubic root of 104517864 is about 471.0462042384.

The spelling of 104517864 in words is "one hundred four million, five hundred seventeen thousand, eight hundred sixty-four".