104733112100 has 144 divisors (see below), whose sum is σ = 243504445968. Its totient is φ = 38961807360.

The previous prime is 104733112079. The next prime is 104733112103. The reversal of 104733112100 is 1211337401.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 63693645376 + 41039466724 = 252376^2 + 202582^2 .

It is not an unprimeable number, because it can be changed into a prime (104733112103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87789104 + ... + 87790296.

It is an arithmetic number, because the mean of its divisors is an integer number (1691003097).

Almost surely, 2^104733112100 is an apocalyptic number.

104733112100 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 104733112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121752222984).

104733112100 is an abundant number, since it is smaller than the sum of its proper divisors (138771333868).

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

104733112100 is a wasteful number, since it uses less digits than its factorization.

104733112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 104733112100 its reverse (1211337401), we get a palindrome (105944449501).

The spelling of 104733112100 in words is "one hundred four billion, seven hundred thirty-three million, one hundred twelve thousand, one hundred".