104915410704 has 200 divisors, whose sum is σ = 328735959552. Its totient is φ = 32111665920.

The previous prime is 104915410687. The next prime is 104915410709. The reversal of 104915410704 is 407014519401.

104915410704 is a `hidden beast` number, since 1 + 0 + 49 + 1 + 541 + 0 + 70 + 4 = 666.

It is a super-2 number, since 2×104915410704² (a number of 23 digits) contains 22 as substring.

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 (104915410709) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3201667 + ... + 3234269.

Almost surely, 2^104915410704 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 104915410704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164367979776).

104915410704 is an abundant number, since it is smaller than the sum of its proper divisors (223820548848).

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

104915410704 is a wasteful number, since it uses less digits than its factorization.

104915410704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32827 (or 32812 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 104915410704 in words is "one hundred four billion, nine hundred fifteen million, four hundred ten thousand, seven hundred four".