105581915263 has 8 divisors (see below), whose sum is σ = 117630915840. Its totient is φ = 93941355480.

The previous prime is 105581915237. The next prime is 105581915267. The reversal of 105581915263 is 362519185501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105581915263 - 2²⁵ = 105548360831 is a prime.

It is a super-2 number, since 2×105581915263² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105581915267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102109653 + ... + 102110686.

It is an arithmetic number, because the mean of its divisors is an integer number (14703864480).

Almost surely, 2^105581915263 is an apocalyptic number.

105581915263 is a deficient number, since it is larger than the sum of its proper divisors (12049000577).

105581915263 is a wasteful number, since it uses less digits than its factorization.

105581915263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204220397.

The product of its (nonzero) digits is 324000, while the sum is 46.

The spelling of 105581915263 in words is "one hundred five billion, five hundred eighty-one million, nine hundred fifteen thousand, two hundred sixty-three".