104132013040100 has 108 divisors (see below), whose sum is σ = 233792491013004. Its totient is φ = 40234521600000.

The previous prime is 104132013040093. The next prime is 104132013040163. The reversal of 104132013040100 is 1040310231401.

It can be written as a sum of positive squares in 18 ways, for example, as 46332607921636 + 57799405118464 = 6806806^2 + 7602592^2 .

It is a super-2 number, since 2×104132013040100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40579220 + ... + 43068980.

Almost surely, 2^{104132013040100} is an apocalyptic number.

104132013040100 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 104132013040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116896245506502).

104132013040100 is an abundant number, since it is smaller than the sum of its proper divisors (129660477972904).

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

104132013040100 is a wasteful number, since it uses less digits than its factorization.

104132013040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490018 (or 2489910 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 104132013040100 its reverse (1040310231401), we get a palindrome (105172323271501).

The spelling of 104132013040100 in words is "one hundred four trillion, one hundred thirty-two billion, thirteen million, forty thousand, one hundred".