104857107312 has 160 divisors (see below), whose sum is σ = 288588386304. Its totient is φ = 32693760000.

The previous prime is 104857107307. The next prime is 104857107317. The reversal of 104857107312 is 213701758401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104857107307) and next prime (104857107317).

It is a super-3 number, since 3×104857107312³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104857107317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139622937 + ... + 139623687.

Almost surely, 2^104857107312 is an apocalyptic number.

104857107312 is a gapful number since it is divisible by the number (12) 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 104857107312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144294193152).

104857107312 is an abundant number, since it is smaller than the sum of its proper divisors (183731278992).

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

104857107312 is a wasteful number, since it uses less digits than its factorization.

104857107312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 104857107312 in words is "one hundred four billion, eight hundred fifty-seven million, one hundred seven thousand, three hundred twelve".