104590817100 has 864 divisors, whose sum is σ = 429362519040. Its totient is φ = 20659968000.

The previous prime is 104590817039. The next prime is 104590817179. The reversal of 104590817100 is 1718095401.

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

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 287 ways as a sum of consecutive naturals, for example, 142688334 + ... + 142689066.

It is an arithmetic number, because the mean of its divisors is an integer number (496947360).

Almost surely, 2^104590817100 is an apocalyptic number.

104590817100 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 104590817100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214681259520).

104590817100 is an abundant number, since it is smaller than the sum of its proper divisors (324771701940).

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

104590817100 is a wasteful number, since it uses less digits than its factorization.

104590817100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 104590817100 in words is "one hundred four billion, five hundred ninety million, eight hundred seventeen thousand, one hundred".