106691120 has 40 divisors (see below), whose sum is σ = 252747216. Its totient is φ = 41869568.

The previous prime is 106691113. The next prime is 106691129. The reversal of 106691120 is 21196601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106691120² = 22765990173708800, 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 106691120.

It is not an unprimeable number, because it can be changed into a prime (106691129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8342 + ... + 16821.

Almost surely, 2^106691120 is an apocalyptic number.

106691120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106691120 is an abundant number, since it is smaller than the sum of its proper divisors (146056096).

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

106691120 is a wasteful number, since it uses less digits than its factorization.

106691120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25229 (or 25223 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 106691120 is about 10329.1393639548. The cubic root of 106691120 is about 474.2886786203.

The spelling of 106691120 in words is "one hundred six million, six hundred ninety-one thousand, one hundred twenty".