105623665 has 24 divisors (see below), whose sum is σ = 152209152. Its totient is φ = 70086240.

The previous prime is 105623633. The next prime is 105623723. The reversal of 105623665 is 566326501.

It is not a de Polignac number, because 105623665 - 2⁵ = 105623633 is a prime.

It is a super-2 number, since 2×105623665² = 22312717216064450, which 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 105623665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642 + ... + 14548.

It is an arithmetic number, because the mean of its divisors is an integer number (6342048).

Almost surely, 2^105623665 is an apocalyptic number.

It is an amenable number.

105623665 is a deficient number, since it is larger than the sum of its proper divisors (46585487).

105623665 is a wasteful number, since it uses less digits than its factorization.

105623665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13957 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 105623665 is about 10277.3374470239. The cubic root of 105623665 is about 472.7016057821.

The spelling of 105623665 in words is "one hundred five million, six hundred twenty-three thousand, six hundred sixty-five".