104005027733100 has 144 divisors (see below), whose sum is σ = 326215153393920. Its totient is φ = 25431692832000.

The previous prime is 104005027733063. The next prime is 104005027733219. The reversal of 104005027733100 is 1337720500401.

It is a super-2 number, since 2×104005027733100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87715590 + ... + 88893389.

It is an arithmetic number, because the mean of its divisors is an integer number (2265383009680).

Almost surely, 2^{104005027733100} is an apocalyptic number.

104005027733100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104005027733100 is an abundant number, since it is smaller than the sum of its proper divisors (222210125660820).

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

104005027733100 is a wasteful number, since it uses less digits than its factorization.

104005027733100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176609160 (or 176609153 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 104005027733100 in words is "one hundred four trillion, five billion, twenty-seven million, seven hundred thirty-three thousand, one hundred".