104518526112 has 864 divisors, whose sum is σ = 419869142784. Its totient is φ = 23953121280.

The previous prime is 104518526027. The next prime is 104518526141. The reversal of 104518526112 is 211625815401.

104518526112 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 18 + 526 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72936148 + ... + 72937580.

It is an arithmetic number, because the mean of its divisors is an integer number (485959656).

Almost surely, 2^104518526112 is an apocalyptic number.

104518526112 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 104518526112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209934571392).

104518526112 is an abundant number, since it is smaller than the sum of its proper divisors (315350616672).

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

104518526112 is a wasteful number, since it uses less digits than its factorization.

104518526112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 104518526112 in words is "one hundred four billion, five hundred eighteen million, five hundred twenty-six thousand, one hundred twelve".