105565161520 has 80 divisors (see below), whose sum is σ = 302078790720. Its totient is φ = 33409631232.

The previous prime is 105565161509. The next prime is 105565161547. The reversal of 105565161520 is 25161565501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105565161520² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105565161520.

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, 7243075 + ... + 7257634.

It is an arithmetic number, because the mean of its divisors is an integer number (3775984884).

Almost surely, 2^105565161520 is an apocalyptic number.

105565161520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105565161520 is an abundant number, since it is smaller than the sum of its proper divisors (196513629200).

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

105565161520 is a wasteful number, since it uses less digits than its factorization.

105565161520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14500742 (or 14500736 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 37.

The spelling of 105565161520 in words is "one hundred five billion, five hundred sixty-five million, one hundred sixty-one thousand, five hundred twenty".