104233113600 has 864 divisors, whose sum is σ = 437625115200. Its totient is φ = 21641625600.

The previous prime is 104233113599. The next prime is 104233113617. The reversal of 104233113600 is 6311332401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82789771 + ... + 82791029.

It is an arithmetic number, because the mean of its divisors is an integer number (506510550).

Almost surely, 2^104233113600 is an apocalyptic number.

104233113600 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 104233113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218812557600).

104233113600 is an abundant number, since it is smaller than the sum of its proper divisors (333392001600).

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

104233113600 is a wasteful number, since it uses less digits than its factorization.

104233113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 104233113600 in words is "one hundred four billion, two hundred thirty-three million, one hundred thirteen thousand, six hundred".