106833960 has 96 divisors (see below), whose sum is σ = 365508000. Its totient is φ = 26987904.

The previous prime is 106833959. The next prime is 106833971. The reversal of 106833960 is 69338601.

It is a happy number.

It is a super-2 number, since 2×106833960² = 22826990018563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970 + ... + 14649.

It is an arithmetic number, because the mean of its divisors is an integer number (3807375).

Almost surely, 2^106833960 is an apocalyptic number.

106833960 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 106833960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182754000).

106833960 is an abundant number, since it is smaller than the sum of its proper divisors (258674040).

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

106833960 is a wasteful number, since it uses less digits than its factorization.

106833960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106833960 is about 10336.0514704601. The cubic root of 106833960 is about 474.5002463169.

The spelling of 106833960 in words is "one hundred six million, eight hundred thirty-three thousand, nine hundred sixty".