104923714896 has 1080 divisors, whose sum is σ = 425750027040. Its totient is φ = 23775897600.

The previous prime is 104923714837. The next prime is 104923714897. The reversal of 104923714896 is 698417329401.

104923714896 is a `hidden beast` number, since 1 + 0 + 4 + 92 + 3 + 71 + 489 + 6 = 666.

It is a super-2 number, since 2×104923714896² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104923714897) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 249224766 + ... + 249225186.

It is an arithmetic number, because the mean of its divisors is an integer number (394212988).

Almost surely, 2^104923714896 is an apocalyptic number.

104923714896 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 104923714896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212875013520).

104923714896 is an abundant number, since it is smaller than the sum of its proper divisors (320826312144).

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

104923714896 is a wasteful number, since it uses less digits than its factorization.

104923714896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 104923714896 in words is "one hundred four billion, nine hundred twenty-three million, seven hundred fourteen thousand, eight hundred ninety-six".