105666363 has 28 divisors (see below), whose sum is σ = 172842648. Its totient is φ = 64035360.

The previous prime is 105666349. The next prime is 105666367. The reversal of 105666363 is 363666501.

It is a happy number.

It is not a de Polignac number, because 105666363 - 2⁸ = 105666107 is a prime.

It is a super-2 number, since 2×105666363² = 22330760539295538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105666367) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1431 + ... + 14607.

Almost surely, 2^105666363 is an apocalyptic number.

105666363 is a deficient number, since it is larger than the sum of its proper divisors (67176285).

105666363 is an equidigital number, since it uses as much as digits as its factorization.

105666363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13206 (or 13191 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 105666363 is about 10279.4145261294. The cubic root of 105666363 is about 472.7652931956.

The spelling of 105666363 in words is "one hundred five million, six hundred sixty-six thousand, three hundred sixty-three".