104111995680 has 2160 divisors, whose sum is σ = 513584318016. Its totient is φ = 19289456640.

The previous prime is 104111995649. The next prime is 104111995703. The reversal of 104111995680 is 86599111401.

It is a tau number, because it is divible by the number of its divisors (2160).

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 (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5479578711 + ... + 5479578729.

Almost surely, 2^104111995680 is an apocalyptic number.

104111995680 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 104111995680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256792159008).

104111995680 is an abundant number, since it is smaller than the sum of its proper divisors (409472322336).

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

104111995680 is a wasteful number, since it uses less digits than its factorization.

104111995680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 104111995680 in words is "one hundred four billion, one hundred eleven million, nine hundred ninety-five thousand, six hundred eighty".