104111133100 has 144 divisors (see below), whose sum is σ = 260118226368. Its totient is φ = 35827752960.

The previous prime is 104111133079. The next prime is 104111133109. The reversal of 104111133100 is 1331111401.

It is a super-2 number, since 2×104111133100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104111133109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2253432 + ... + 2299168.

It is an arithmetic number, because the mean of its divisors is an integer number (1806376572).

Almost surely, 2^104111133100 is an apocalyptic number.

104111133100 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 104111133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130059113184).

104111133100 is an abundant number, since it is smaller than the sum of its proper divisors (156007093268).

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

104111133100 is a wasteful number, since it uses less digits than its factorization.

104111133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45884 (or 45877 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 104111133100 its reverse (1331111401), we get a palindrome (105442244501).

The spelling of 104111133100 in words is "one hundred four billion, one hundred eleven million, one hundred thirty-three thousand, one hundred".