105631665 has 16 divisors (see below), whose sum is σ = 169138368. Its totient is φ = 56294336.

The previous prime is 105631651. The next prime is 105631667. The reversal of 105631665 is 566136501.

It is a cyclic number.

It is not a de Polignac number, because 105631665 - 2¹⁸ = 105369521 is a prime.

It is a super-2 number, since 2×105631665² = 22316097301344450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105631667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35734 + ... + 38576.

It is an arithmetic number, because the mean of its divisors is an integer number (10571148).

Almost surely, 2^105631665 is an apocalyptic number.

105631665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105631665 is a deficient number, since it is larger than the sum of its proper divisors (63506703).

105631665 is a wasteful number, since it uses less digits than its factorization.

105631665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 105631665 is about 10277.7266455185. The cubic root of 105631665 is about 472.7135397156.

The spelling of 105631665 in words is "one hundred five million, six hundred thirty-one thousand, six hundred sixty-five".