106520800 has 72 divisors (see below), whose sum is σ = 265670496. Its totient is φ = 41687040.

The previous prime is 106520779. The next prime is 106520809. The reversal of 106520800 is 8025601.

It is a happy number.

It is a super-2 number, since 2×106520800² = 22693361665280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106520809) 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 11 ways as a sum of consecutive naturals, for example, 36184 + ... + 39016.

It is an arithmetic number, because the mean of its divisors is an integer number (3689868).

Almost surely, 2^106520800 is an apocalyptic number.

106520800 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 106520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132835248).

106520800 is an abundant number, since it is smaller than the sum of its proper divisors (159149696).

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

106520800 is a wasteful number, since it uses less digits than its factorization.

106520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 106520800 is about 10320.8914343675. The cubic root of 106520800 is about 474.0361619108.

The spelling of 106520800 in words is "one hundred six million, five hundred twenty thousand, eight hundred".