105405923 has 32 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 83865600.

The previous prime is 105405917. The next prime is 105405953. The reversal of 105405923 is 329504501.

It is not a de Polignac number, because 105405923 - 2⁴ = 105405907 is a prime.

It is a super-2 number, since 2×105405923² = 22220817206963858, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (105405953) 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, 1043573 + ... + 1043673.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2^105405923 is an apocalyptic number.

105405923 is a deficient number, since it is larger than the sum of its proper divisors (24142237).

105405923 is a wasteful number, since it uses less digits than its factorization.

105405923 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 105405923 is about 10266.7386739899. The cubic root of 105405923 is about 472.3765593014.

The spelling of 105405923 in words is "one hundred five million, four hundred five thousand, nine hundred twenty-three".