20131600104 has 192 divisors, whose sum is σ = 68240240640. Its totient is φ = 5208727680.

The previous prime is 20131600051. The next prime is 20131600127. The reversal of 20131600104 is 40100613102.

It is a happy number.

20131600104 is a `hidden beast` number, since 20 + 1 + 31 + 600 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451169 + ... + 1464975.

It is an arithmetic number, because the mean of its divisors is an integer number (355417920).

Almost surely, 2^20131600104 is an apocalyptic number.

20131600104 is a gapful number since it is divisible by the number (24) 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 20131600104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34120120320).

20131600104 is an abundant number, since it is smaller than the sum of its proper divisors (48108640536).

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

20131600104 is a wasteful number, since it uses less digits than its factorization.

20131600104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14100 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 20131600104 in words is "twenty billion, one hundred thirty-one million, six hundred thousand, one hundred four".