105335126055160 has 32 divisors (see below), whose sum is σ = 245176586510400. Its totient is φ = 40681152131200.

The previous prime is 105335126055143. The next prime is 105335126055167. The reversal of 105335126055160 is 61550621533501.

It is a super-2 number, since 2×105335126055160² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105335126055167) 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, 45403070416 + ... + 45403072735.

It is an arithmetic number, because the mean of its divisors is an integer number (7661768328450).

Almost surely, 2^{105335126055160} is an apocalyptic number.

105335126055160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105335126055160 is an abundant number, since it is smaller than the sum of its proper divisors (139841460455240).

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

105335126055160 is a wasteful number, since it uses less digits than its factorization.

105335126055160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90806143191 (or 90806143187 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 43.

Adding to 105335126055160 its reverse (61550621533501), we get a palindrome (166885747588661).

The spelling of 105335126055160 in words is "one hundred five trillion, three hundred thirty-five billion, one hundred twenty-six million, fifty-five thousand, one hundred sixty".