105344251623 has 24 divisors (see below), whose sum is σ = 168994073040. Its totient is φ = 64827228960.

The previous prime is 105344251609. The next prime is 105344251651. The reversal of 105344251623 is 326152443501.

105344251623 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 4 + 25 + 1 + 623 = 666.

It is not a de Polignac number, because 105344251623 - 2³² = 101049284327 is a prime.

It is a super-2 number, since 2×105344251623² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105344251673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11538748 + ... + 11547873.

It is an arithmetic number, because the mean of its divisors is an integer number (7041419710).

Almost surely, 2^105344251623 is an apocalyptic number.

105344251623 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105344251623 is a deficient number, since it is larger than the sum of its proper divisors (63649821417).

105344251623 is a wasteful number, since it uses less digits than its factorization.

105344251623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23086656 (or 23086637 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 105344251623 in words is "one hundred five billion, three hundred forty-four million, two hundred fifty-one thousand, six hundred twenty-three".