104729257160 has 256 divisors, whose sum is σ = 271963422720. Its totient is φ = 35957376000.

The previous prime is 104729257151. The next prime is 104729257177. The reversal of 104729257160 is 61752927401.

It is a Cunningham number, because it is equal to 323619²-1.

It is a super-2 number, since 2×104729257160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 71195225 + ... + 71196695.

It is an arithmetic number, because the mean of its divisors is an integer number (1062357120).

Almost surely, 2^104729257160 is an apocalyptic number.

104729257160 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 104729257160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135981711360).

104729257160 is an abundant number, since it is smaller than the sum of its proper divisors (167234165560).

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

104729257160 is a wasteful number, since it uses less digits than its factorization.

104729257160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 104729257160 in words is "one hundred four billion, seven hundred twenty-nine million, two hundred fifty-seven thousand, one hundred sixty".