105668352 has 54 divisors (see below), whose sum is σ = 304674552. Its totient is φ = 35222016.

The previous prime is 105668341. The next prime is 105668359. The reversal of 105668352 is 253866501.

105668352 is a `hidden beast` number, since 10 + 566 + 83 + 5 + 2 = 666.

It is a super-2 number, since 2×105668352² = 22331601228791808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105668359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20628 + ... + 25235.

Almost surely, 2^105668352 is an apocalyptic number.

105668352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105668352 is an abundant number, since it is smaller than the sum of its proper divisors (199006200).

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

105668352 is an equidigital number, since it uses as much as digits as its factorization.

105668352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45885 (or 45868 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 105668352 is about 10279.5112724292. The cubic root of 105668352 is about 472.7682595267.

The spelling of 105668352 in words is "one hundred five million, six hundred sixty-eight thousand, three hundred fifty-two".