104346612720 has 320 divisors, whose sum is σ = 411461760000. Its totient is φ = 23809987584.

The previous prime is 104346612709. The next prime is 104346612737. The reversal of 104346612720 is 27216643401.

104346612720 is a `hidden beast` number, since 1 + 0 + 4 + 34 + 6 + 612 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×104346612720² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9353706 + ... + 9364854.

It is an arithmetic number, because the mean of its divisors is an integer number (1285818000).

Almost surely, 2^104346612720 is an apocalyptic number.

104346612720 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 104346612720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205730880000).

104346612720 is an abundant number, since it is smaller than the sum of its proper divisors (307115147280).

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

104346612720 is a wasteful number, since it uses less digits than its factorization.

104346612720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797 (or 11785 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 104346612720 in words is "one hundred four billion, three hundred forty-six million, six hundred twelve thousand, seven hundred twenty".