107131405056 has 144 divisors (see below), whose sum is σ = 316964551680. Its totient is φ = 31900078080.

The previous prime is 107131405039. The next prime is 107131405061. The reversal of 107131405056 is 650504131701.

It is a super-2 number, since 2×107131405056² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136435 + ... + 482573.

It is an arithmetic number, because the mean of its divisors is an integer number (2201142720).

Almost surely, 2^107131405056 is an apocalyptic number.

107131405056 is a gapful number since it is divisible by the number (16) 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 107131405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158482275840).

107131405056 is an abundant number, since it is smaller than the sum of its proper divisors (209833146624).

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

107131405056 is a wasteful number, since it uses less digits than its factorization.

107131405056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346202 (or 346188 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

Adding to 107131405056 its reverse (650504131701), we get a palindrome (757635536757).

The spelling of 107131405056 in words is "one hundred seven billion, one hundred thirty-one million, four hundred five thousand, fifty-six".