106988 has 12 divisors (see below), whose sum is σ = 214032. Its totient is φ = 45840.

The previous prime is 106979. The next prime is 106993. The reversal of 106988 is 889601.

106988 is an admirable number.

It is a super-2 number, since 2×106988² = 22892864288, which contains 22 as substring.

It is an unprimeable number.

106988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1883 + ... + 1938.

It is an arithmetic number, because the mean of its divisors is an integer number (17836).

2¹⁰⁶⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

106988 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106988 is a wasteful number, since it uses less digits than its factorization.

106988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 106988 is about 327.0902016264. The cubic root of 106988 is about 47.4728191677.

The spelling of 106988 in words is "one hundred six thousand, nine hundred eighty-eight".