106199968 has 48 divisors (see below), whose sum is σ = 251536320. Its totient is φ = 43117056.

The previous prime is 106199939. The next prime is 106199971. The reversal of 106199968 is 869991601.

It is a super-2 number, since 2×106199968² = 22556866406402048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8221 + ... + 16732.

It is an arithmetic number, because the mean of its divisors is an integer number (5240340).

Almost surely, 2^106199968 is an apocalyptic number.

It is an amenable number.

106199968 is an abundant number, since it is smaller than the sum of its proper divisors (145336352).

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

106199968 is a wasteful number, since it uses less digits than its factorization.

106199968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24989 (or 24981 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 49.

The square root of 106199968 is about 10305.3368697971. The cubic root of 106199968 is about 473.5597638236.

It can be divided in two parts, 10 and 6199968, that multiplied together give a triangular number (61999680 = T₁₁₁₃₅).

The spelling of 106199968 in words is "one hundred six million, one hundred ninety-nine thousand, nine hundred sixty-eight".