104793427200 has 864 divisors, whose sum is σ = 437533996032. Its totient is φ = 21454848000.

The previous prime is 104793427139. The next prime is 104793427231. The reversal of 104793427200 is 2724397401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107922715 + ... + 107923685.

It is an arithmetic number, because the mean of its divisors is an integer number (506405088).

Almost surely, 2^104793427200 is an apocalyptic number.

104793427200 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 104793427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218766998016).

104793427200 is an abundant number, since it is smaller than the sum of its proper divisors (332740568832).

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

104793427200 is a wasteful number, since it uses less digits than its factorization.

104793427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 104793427200 in words is "one hundred four billion, seven hundred ninety-three million, four hundred twenty-seven thousand, two hundred".