104275210152960 has 704 divisors, whose sum is σ = 462015967472640. Its totient is φ = 21667573923840.

The previous prime is 104275210152943. The next prime is 104275210153013. The reversal of 104275210152960 is 69251012572401.

104275210152960 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 7 + 52 + 10 + 1 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5746392 + ... + 15542568.

Almost surely, 2^{104275210152960} is an apocalyptic number.

104275210152960 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 104275210152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231007983736320).

104275210152960 is an abundant number, since it is smaller than the sum of its proper divisors (357740757319680).

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

104275210152960 is a wasteful number, since it uses less digits than its factorization.

104275210152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9796229 (or 9796205 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 104275210152960 in words is "one hundred four trillion, two hundred seventy-five billion, two hundred ten million, one hundred fifty-two thousand, nine hundred sixty".