104518118564100 has 144 divisors (see below), whose sum is σ = 336024244530240. Its totient is φ = 27870017760000.

The previous prime is 104518118564099. The next prime is 104518118564113. The reversal of 104518118564100 is 1465811815401.

104518118564100 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 1 + 81 + 1 + 8 + 564 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50284059 + ... + 52321341.

Almost surely, 2^{104518118564100} is an apocalyptic number.

104518118564100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104518118564100 is an abundant number, since it is smaller than the sum of its proper divisors (231506125966140).

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

104518118564100 is a wasteful number, since it uses less digits than its factorization.

104518118564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056307 (or 2056294 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 104518118564100 in words is "one hundred four trillion, five hundred eighteen billion, one hundred eighteen million, five hundred sixty-four thousand, one hundred".