105335617442460 has 48 divisors (see below), whose sum is σ = 307763195314176. Its totient is φ = 26868215463232.

The previous prime is 105335617442459. The next prime is 105335617442537. The reversal of 105335617442460 is 64244716533501.

It is a super-2 number, since 2×105335617442460² (a number of 29 digits) contains 22 as substring.

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, 38165077404 + ... + 38165080163.

It is an arithmetic number, because the mean of its divisors is an integer number (6411733235712).

Almost surely, 2^{105335617442460} is an apocalyptic number.

105335617442460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105335617442460 is an abundant number, since it is smaller than the sum of its proper divisors (202427577871716).

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

105335617442460 is a wasteful number, since it uses less digits than its factorization.

105335617442460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76330157602 (or 76330157600 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 105335617442460 in words is "one hundred five trillion, three hundred thirty-five billion, six hundred seventeen million, four hundred forty-two thousand, four hundred sixty".