104814864 has 320 divisors, whose sum is σ = 394260480. Its totient is φ = 25850880.

The previous prime is 104814863. The next prime is 104814889. The reversal of 104814864 is 468418401.

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

It is not an unprimeable number, because it can be changed into a prime (104814863) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 765004 + ... + 765140.

It is an arithmetic number, because the mean of its divisors is an integer number (1232064).

Almost surely, 2^104814864 is an apocalyptic number.

104814864 is a gapful number since it is divisible by the number (14) 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 104814864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197130240).

104814864 is an abundant number, since it is smaller than the sum of its proper divisors (289445616).

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

104814864 is a wasteful number, since it uses less digits than its factorization.

104814864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 104814864 is about 10237.9130685897. The cubic root of 104814864 is about 471.4919603074.

The spelling of 104814864 in words is "one hundred four million, eight hundred fourteen thousand, eight hundred sixty-four".