104523837264 has 360 divisors, whose sum is σ = 384971172768. Its totient is φ = 27148504320.

The previous prime is 104523837241. The next prime is 104523837277. The reversal of 104523837264 is 462738325401.

104523837264 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 2 + 383 + 7 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2070694 + ... + 2120570.

Almost surely, 2^104523837264 is an apocalyptic number.

104523837264 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 104523837264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192485586384).

104523837264 is an abundant number, since it is smaller than the sum of its proper divisors (280447335504).

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

104523837264 is a wasteful number, since it uses less digits than its factorization.

104523837264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49925 (or 49900 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 104523837264 in words is "one hundred four billion, five hundred twenty-three million, eight hundred thirty-seven thousand, two hundred sixty-four".