104939712000 has 800 divisors, whose sum is σ = 404122777344. Its totient is φ = 27039744000.

The previous prime is 104939711983. The next prime is 104939712049. The reversal of 104939712000 is 217939401.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×104939712000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 160703674 + ... + 160704326.

Almost surely, 2^104939712000 is an apocalyptic number.

104939712000 is a gapful number since it is divisible by the number (10) 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 104939712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202061388672).

104939712000 is an abundant number, since it is smaller than the sum of its proper divisors (299183065344).

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

104939712000 is an frugal number, since it uses more digits than its factorization.

104939712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 104939712000 in words is "one hundred four billion, nine hundred thirty-nine million, seven hundred twelve thousand".