107348689418257 has 8 divisors (see below), whose sum is σ = 123300720080000. Its totient is φ = 91550784657024.

The previous prime is 107348689418233. The next prime is 107348689418317. The reversal of 107348689418257 is 752814986843701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 107348689418257 - 2⁷ = 107348689418129 is a prime.

It is a super-2 number, since 2×107348689418257² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107348689418257.

It is not an unprimeable number, because it can be changed into a prime (107348689410257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38531473632 + ... + 38531476417.

It is an arithmetic number, because the mean of its divisors is an integer number (15412590010000).

It is a 1-persistent number, because it is pandigital, but 2⋅107348689418257 = 214697378836514 is not.

Almost surely, 2^{107348689418257} is an apocalyptic number.

It is an amenable number.

107348689418257 is a deficient number, since it is larger than the sum of its proper divisors (15952030661743).

107348689418257 is an equidigital number, since it uses as much as digits as its factorization.

107348689418257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77062950255.

The product of its (nonzero) digits is 650280960, while the sum is 73.

The spelling of 107348689418257 in words is "one hundred seven trillion, three hundred forty-eight billion, six hundred eighty-nine million, four hundred eighteen thousand, two hundred fifty-seven".