106939968 has 56 divisors (see below), whose sum is σ = 289547808. Its totient is φ = 34814976.

The previous prime is 106939957. The next prime is 106939981. The reversal of 106939968 is 869939601.

It is a super-2 number, since 2×106939968² = 22872313511682048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106939968.

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, 1780 + ... + 14732.

Almost surely, 2^106939968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144773904).

106939968 is an abundant number, since it is smaller than the sum of its proper divisors (182607840).

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

106939968 is a wasteful number, since it uses less digits than its factorization.

106939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 13001 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The square root of 106939968 is about 10341.1782694237. The cubic root of 106939968 is about 474.6571383575.

The spelling of 106939968 in words is "one hundred six million, nine hundred thirty-nine thousand, nine hundred sixty-eight".