105233765 has 24 divisors (see below), whose sum is σ = 156284928. Its totient is φ = 66605760.

The previous prime is 105233759. The next prime is 105233773. The reversal of 105233765 is 567332501.

It is not a de Polignac number, because 105233765 - 2⁴ = 105233749 is a prime.

It is a super-2 number, since 2×105233765² = 22148290592150450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2981 + ... + 14810.

It is an arithmetic number, because the mean of its divisors is an integer number (6511872).

Almost surely, 2^105233765 is an apocalyptic number.

It is an amenable number.

105233765 is a deficient number, since it is larger than the sum of its proper divisors (51051163).

105233765 is a wasteful number, since it uses less digits than its factorization.

105233765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17829 (or 17816 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 105233765 is about 10258.3509883412. The cubic root of 105233765 is about 472.1192438477.

The spelling of 105233765 in words is "one hundred five million, two hundred thirty-three thousand, seven hundred sixty-five".