107140003401056 has 96 divisors (see below), whose sum is σ = 226765153359360. Its totient is φ = 49669092020736.

The previous prime is 107140003401023. The next prime is 107140003401127. The reversal of 107140003401056 is 650104300041701.

It is a super-2 number, since 2×107140003401056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 1526980631 + ... + 1527050793.

It is an arithmetic number, because the mean of its divisors is an integer number (2362137014160).

Almost surely, 2^{107140003401056} is an apocalyptic number.

107140003401056 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 107140003401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113382576679680).

107140003401056 is an abundant number, since it is smaller than the sum of its proper divisors (119625149958304).

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

107140003401056 is a wasteful number, since it uses less digits than its factorization.

107140003401056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123676 (or 123668 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 107140003401056 its reverse (650104300041701), we get a palindrome (757244303442757).

The spelling of 107140003401056 in words is "one hundred seven trillion, one hundred forty billion, three million, four hundred one thousand, fifty-six".