105868665 has 96 divisors (see below), whose sum is σ = 225888000. Its totient is φ = 45849888.

The previous prime is 105868657. The next prime is 105868681. The reversal of 105868665 is 566868501.

105868665 is a `hidden beast` number, since 1 + 0 + 586 + 8 + 6 + 65 = 666.

It is not a de Polignac number, because 105868665 - 2³ = 105868657 is a prime.

It is a super-2 number, since 2×105868665² = 22416348457764450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105868665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5572026 + ... + 5572044.

It is an arithmetic number, because the mean of its divisors is an integer number (2353000).

Almost surely, 2^105868665 is an apocalyptic number.

105868665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105868665 is the 5145-th decagonal number.

It is an amenable number.

105868665 is an abundant number, since it is smaller than the sum of its proper divisors (120019335).

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

105868665 is an frugal number, since it uses more digits than its factorization.

105868665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 105868665 is about 10289.2499726656. The cubic root of 105868665 is about 473.0668094972.

105868665 divided by its sum of digits (45) gives a cube (2352637 = 133³).

The spelling of 105868665 in words is "one hundred five million, eight hundred sixty-eight thousand, six hundred sixty-five".