105856668 has 36 divisors (see below), whose sum is σ = 267980440. Its totient is φ = 35233056.

The previous prime is 105856651. The next prime is 105856687. The reversal of 105856668 is 866658501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105856668² = 22411268320124448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28071 + ... + 31617.

Almost surely, 2^105856668 is an apocalyptic number.

105856668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105856668 is an abundant number, since it is smaller than the sum of its proper divisors (162123772).

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

105856668 is a wasteful number, since it uses less digits than its factorization.

105856668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4381 counting only the distinct ones).

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

The square root of 105856668 is about 10288.6669690490. Note that the first 3 decimals coincide. The cubic root of 105856668 is about 473.0489395672.

The spelling of 105856668 in words is "one hundred five million, eight hundred fifty-six thousand, six hundred sixty-eight".