104905504385200 has 60 divisors (see below), whose sum is σ = 252038749186048. Its totient is φ = 41961656505600.

The previous prime is 104905504385177. The next prime is 104905504385207. The reversal of 104905504385200 is 2583405509401.

It is a super-2 number, since 2×104905504385200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104905504385207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29847889 + ... + 33176911.

Almost surely, 2^{104905504385200} is an apocalyptic number.

104905504385200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104905504385200 is an abundant number, since it is smaller than the sum of its proper divisors (147133244800848).

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

104905504385200 is a wasteful number, since it uses less digits than its factorization.

104905504385200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407822 (or 3407811 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 104905504385200 in words is "one hundred four trillion, nine hundred five billion, five hundred four million, three hundred eighty-five thousand, two hundred".