104095689197568 has 192 divisors, whose sum is σ = 278286408691200. Its totient is φ = 34602929356800.

The previous prime is 104095689197551. The next prime is 104095689197641. The reversal of 104095689197568 is 865791986590401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×104095689197568² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104095689197493 and 104095689197502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4711693530 + ... + 4711715622.

It is an arithmetic number, because the mean of its divisors is an integer number (1449408378600).

Almost surely, 2^{104095689197568} 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 104095689197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139143204345600).

104095689197568 is an abundant number, since it is smaller than the sum of its proper divisors (174190719493632).

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

104095689197568 is a wasteful number, since it uses less digits than its factorization.

104095689197568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24198 (or 24178 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 78.

The spelling of 104095689197568 in words is "one hundred four trillion, ninety-five billion, six hundred eighty-nine million, one hundred ninety-seven thousand, five hundred sixty-eight".