106968800 has 36 divisors (see below), whose sum is σ = 261139536. Its totient is φ = 42787200.

The previous prime is 106968773. The next prime is 106968809. The reversal of 106968800 is 8869601.

It is a super-2 number, since 2×106968800² = 22884648346880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106968809) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 66056 + ... + 67655.

It is an arithmetic number, because the mean of its divisors is an integer number (7253876).

Almost surely, 2^106968800 is an apocalyptic number.

106968800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106968800 is an abundant number, since it is smaller than the sum of its proper divisors (154170736).

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

106968800 is a wasteful number, since it uses less digits than its factorization.

106968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133731 (or 133718 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 106968800 is about 10342.5722139127. The cubic root of 106968800 is about 474.6997918360.

The spelling of 106968800 in words is "one hundred six million, nine hundred sixty-eight thousand, eight hundred".