106971200 has 84 divisors (see below), whose sum is σ = 300849792. Its totient is φ = 36672000.

The previous prime is 106971131. The next prime is 106971209. The reversal of 106971200 is 2179601.

It is a super-2 number, since 2×106971200² = 22885675258880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106971200.

It is not an unprimeable number, because it can be changed into a prime (106971209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6425 + ... + 15975.

Almost surely, 2^106971200 is an apocalyptic number.

106971200 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 106971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150424896).

106971200 is an abundant number, since it is smaller than the sum of its proper divisors (193878592).

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

106971200 is an equidigital number, since it uses as much as digits as its factorization.

106971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9580 (or 9565 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 106971200 is about 10342.6882385577. The cubic root of 106971200 is about 474.7033420020.

The spelling of 106971200 in words is "one hundred six million, nine hundred seventy-one thousand, two hundred".