106288680 has 64 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 28237568.

The previous prime is 106288669. The next prime is 106288723. The reversal of 106288680 is 86882601.

It is a super-2 number, since 2×106288680² = 22594566992284800, 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 15 ways as a sum of consecutive naturals, for example, 33649 + ... + 36671.

It is an arithmetic number, because the mean of its divisors is an integer number (5000940).

Almost surely, 2^106288680 is an apocalyptic number.

106288680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106288680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

106288680 is an abundant number, since it is smaller than the sum of its proper divisors (213771480).

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

106288680 is a wasteful number, since it uses less digits than its factorization.

106288680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 106288680 is about 10309.6401489092. The cubic root of 106288680 is about 473.6915866558.

The spelling of 106288680 in words is "one hundred six million, two hundred eighty-eight thousand, six hundred eighty".