106372800 has 252 divisors, whose sum is σ = 386928360. Its totient is φ = 27709440.

The previous prime is 106372781. The next prime is 106372801. The reversal of 106372800 is 8273601.

106372800 is a `hidden beast` number, since 1 + 0 + 637 + 28 + 0 + 0 = 666.

It is a super-2 number, since 2×106372800² = 22630345159680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106372801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1195156 + ... + 1195244.

It is an arithmetic number, because the mean of its divisors is an integer number (1535430).

Almost surely, 2^106372800 is an apocalyptic number.

106372800 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 106372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193464180).

106372800 is an abundant number, since it is smaller than the sum of its proper divisors (280555560).

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

106372800 is a wasteful number, since it uses less digits than its factorization.

106372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106372800 is about 10313.7190188603. The cubic root of 106372800 is about 473.8165182066.

The spelling of 106372800 in words is "one hundred six million, three hundred seventy-two thousand, eight hundred".