105360505172481 has 48 divisors (see below), whose sum is σ = 155865406092480. Its totient is φ = 63240785187840.

The previous prime is 105360505172477. The next prime is 105360505172567. The reversal of 105360505172481 is 184271505063501.

It is not a de Polignac number, because 105360505172481 - 2² = 105360505172477 is a prime.

It is a super-2 number, since 2×105360505172481² (a number of 29 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 105360505172481.

It is not an unprimeable number, because it can be changed into a prime (105360505172441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87057810 + ... + 88259748.

It is an arithmetic number, because the mean of its divisors is an integer number (3247195960260).

Almost surely, 2^{105360505172481} is an apocalyptic number.

It is an amenable number.

105360505172481 is a deficient number, since it is larger than the sum of its proper divisors (50504900919999).

105360505172481 is a wasteful number, since it uses less digits than its factorization.

105360505172481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206226 (or 1206213 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 105360505172481 in words is "one hundred five trillion, three hundred sixty billion, five hundred five million, one hundred seventy-two thousand, four hundred eighty-one".