106568336 has 30 divisors (see below), whose sum is σ = 240188310. Its totient is φ = 45671808.

The previous prime is 106568309. The next prime is 106568339. The reversal of 106568336 is 633865601.

It can be written as a sum of positive squares in only one way, i.e., 104448400 + 2119936 = 10220^2 + 1456^2 .

It is a super-2 number, since 2×106568336² = 22713620475617792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106568336.

It is not an unprimeable number, because it can be changed into a prime (106568339) 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, 67181 + ... + 68748.

It is an arithmetic number, because the mean of its divisors is an integer number (8006277).

Almost surely, 2^106568336 is an apocalyptic number.

106568336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106568336 is an abundant number, since it is smaller than the sum of its proper divisors (133619974).

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

106568336 is a wasteful number, since it uses less digits than its factorization.

106568336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135951 (or 135938 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 106568336 is about 10323.1940793535. The cubic root of 106568336 is about 474.1066659246.

The spelling of 106568336 in words is "one hundred six million, five hundred sixty-eight thousand, three hundred thirty-six".