105662664265263 has 32 divisors (see below), whose sum is σ = 161856036326400. Its totient is φ = 60061456350720.

The previous prime is 105662664265259. The next prime is 105662664265271. The reversal of 105662664265263 is 362562466266501.

It is not a de Polignac number, because 105662664265263 - 2² = 105662664265259 is a prime.

It is a super-2 number, since 2×105662664265263² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105662664265197 and 105662664265206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105662664265243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15306343 + ... + 21109463.

It is an arithmetic number, because the mean of its divisors is an integer number (5058001135200).

Almost surely, 2^{105662664265263} is an apocalyptic number.

105662664265263 is a deficient number, since it is larger than the sum of its proper divisors (56193372061137).

105662664265263 is a wasteful number, since it uses less digits than its factorization.

105662664265263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807687.

The product of its (nonzero) digits is 111974400, while the sum is 60.

The spelling of 105662664265263 in words is "one hundred five trillion, six hundred sixty-two billion, six hundred sixty-four million, two hundred sixty-five thousand, two hundred sixty-three".