104040056100 has 288 divisors, whose sum is σ = 333374662656. Its totient is φ = 24917657600.

The previous prime is 104040056047. The next prime is 104040056119. The reversal of 104040056100 is 1650040401.

It is a super-2 number, since 2×104040056100² (a number of 23 digits) contains 22 as substring.

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, 68854345 + ... + 68855855.

It is an arithmetic number, because the mean of its divisors is an integer number (1157550912).

Almost surely, 2^104040056100 is an apocalyptic number.

104040056100 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 104040056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166687331328).

104040056100 is an abundant number, since it is smaller than the sum of its proper divisors (229334606556).

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

104040056100 is a wasteful number, since it uses less digits than its factorization.

104040056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 104040056100 its reverse (1650040401), we get a palindrome (105690096501).

The spelling of 104040056100 in words is "one hundred four billion, forty million, fifty-six thousand, one hundred".