105665532 has 48 divisors (see below), whose sum is σ = 282277632. Its totient is φ = 30136320.

The previous prime is 105665513. The next prime is 105665533. The reversal of 105665532 is 235566501.

It is a super-2 number, since 2×105665532² = 22330409305686048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105665493 and 105665502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105665533) 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, 91068 + ... + 92220.

It is an arithmetic number, because the mean of its divisors is an integer number (5880784).

Almost surely, 2^105665532 is an apocalyptic number.

105665532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105665532 is an abundant number, since it is smaller than the sum of its proper divisors (176612100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105665532 is a wasteful number, since it uses less digits than its factorization.

105665532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 105665532 is about 10279.3741054599. The cubic root of 105665532 is about 472.7640538577.

The spelling of 105665532 in words is "one hundred five million, six hundred sixty-five thousand, five hundred thirty-two".