105456066262695 has 48 divisors (see below), whose sum is σ = 186012674640000. Its totient is φ = 55253073516480.

The previous prime is 105456066262523. The next prime is 105456066262709. The reversal of 105456066262695 is 596262660654501.

105456066262695 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 560 + 6 + 6 + 2 + 6 + 2 + 69 + 5 = 666.

It is not a de Polignac number, because 105456066262695 - 2²² = 105456062068391 is a prime.

It is a super-2 number, since 2×105456066262695² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9268921 + ... + 17228610.

It is an arithmetic number, because the mean of its divisors is an integer number (3875264055000).

Almost surely, 2^{105456066262695} is an apocalyptic number.

105456066262695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105456066262695 is a deficient number, since it is larger than the sum of its proper divisors (80556608377305).

105456066262695 is a wasteful number, since it uses less digits than its factorization.

105456066262695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26499100 (or 26499097 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 105456066262695 in words is "one hundred five trillion, four hundred fifty-six billion, sixty-six million, two hundred sixty-two thousand, six hundred ninety-five".