105465124140016 has 80 divisors (see below), whose sum is σ = 212793388663968. Its totient is φ = 50595859353600.

The previous prime is 105465124139993. The next prime is 105465124140043. The reversal of 105465124140016 is 610041421564501.

It is a super-2 number, since 2×105465124140016² (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, 24985356 + ... + 28899796.

Almost surely, 2^{105465124140016} is an apocalyptic number.

105465124140016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105465124140016 is an abundant number, since it is smaller than the sum of its proper divisors (107328264523952).

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

105465124140016 is a wasteful number, since it uses less digits than its factorization.

105465124140016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915170 (or 3915164 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 105465124140016 in words is "one hundred five trillion, four hundred sixty-five billion, one hundred twenty-four million, one hundred forty thousand, sixteen".