106502800 has 60 divisors (see below), whose sum is σ = 256875300. Its totient is φ = 42434560.

The previous prime is 106502797. The next prime is 106502801. The reversal of 106502800 is 8205601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 82944 + 106419856 = 288^2 + 10316^2 .

It is a super-2 number, since 2×106502800² = 22685692815680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106502801) 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, 179304 + ... + 179896.

It is an arithmetic number, because the mean of its divisors is an integer number (4281255).

Almost surely, 2^106502800 is an apocalyptic number.

106502800 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 106502800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128437650).

106502800 is an abundant number, since it is smaller than the sum of its proper divisors (150372500).

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

106502800 is a wasteful number, since it uses less digits than its factorization.

106502800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1049 counting only the distinct ones).

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

The square root of 106502800 is about 10320.0193798268. The cubic root of 106502800 is about 474.0094593589.

The spelling of 106502800 in words is "one hundred six million, five hundred two thousand, eight hundred".