104926159296 has 448 divisors, whose sum is σ = 376488960000. Its totient is φ = 28008529920.

The previous prime is 104926159279. The next prime is 104926159307. The reversal of 104926159296 is 692951629401.

104926159296 is a `hidden beast` number, since 1 + 0 + 49 + 2 + 6 + 1 + 592 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×104926159296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10869480 + ... + 10879128.

Almost surely, 2^104926159296 is an apocalyptic number.

104926159296 is a gapful number since it is divisible by the number (16) 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 104926159296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188244480000).

104926159296 is an abundant number, since it is smaller than the sum of its proper divisors (271562800704).

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

104926159296 is a wasteful number, since it uses less digits than its factorization.

104926159296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9737 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 104926159296 in words is "one hundred four billion, nine hundred twenty-six million, one hundred fifty-nine thousand, two hundred ninety-six".