105234688663 has 32 divisors (see below), whose sum is σ = 118800202752. Its totient is φ = 92573712000.

The previous prime is 105234688579. The next prime is 105234688667. The reversal of 105234688663 is 366886432501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105234688663 is a prime.

It is a super-2 number, since 2×105234688663² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105234688663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105234688667) 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, 8690313 + ... + 8702413.

It is an arithmetic number, because the mean of its divisors is an integer number (3712506336).

Almost surely, 2^105234688663 is an apocalyptic number.

105234688663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105234688663 is a deficient number, since it is larger than the sum of its proper divisors (13565514089).

105234688663 is a wasteful number, since it uses less digits than its factorization.

105234688663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12535.

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 105234688663 in words is "one hundred five billion, two hundred thirty-four million, six hundred eighty-eight thousand, six hundred sixty-three".