106313768 has 32 divisors (see below), whose sum is σ = 224964000. Its totient is φ = 46656960.

The previous prime is 106313749. The next prime is 106313777. The reversal of 106313768 is 867313601.

It is a super-2 number, since 2×106313768² = 22605234532715648, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18278 + ... + 23381.

It is an arithmetic number, because the mean of its divisors is an integer number (7030125).

Almost surely, 2^106313768 is an apocalyptic number.

It is an amenable number.

106313768 is an abundant number, since it is smaller than the sum of its proper divisors (118650232).

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

106313768 is a wasteful number, since it uses less digits than its factorization.

106313768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41705 (or 41701 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 106313768 is about 10310.8568024195. The cubic root of 106313768 is about 473.7288532133.

The spelling of 106313768 in words is "one hundred six million, three hundred thirteen thousand, seven hundred sixty-eight".