106822720 has 28 divisors (see below), whose sum is σ = 254372364. Its totient is φ = 42728960.

The previous prime is 106822717. The next prime is 106822721. The reversal of 106822720 is 27228601.

It can be written as a sum of positive squares in 2 ways, for example, as 27541504 + 79281216 = 5248^2 + 8904^2 .

It is a super-2 number, since 2×106822720² = 22822187016396800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106822721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166591 + ... + 167230.

Almost surely, 2^106822720 is an apocalyptic number.

106822720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106822720 is an abundant number, since it is smaller than the sum of its proper divisors (147549644).

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

106822720 is an equidigital number, since it uses as much as digits as its factorization.

106822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333838 (or 333828 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 106822720 is about 10335.5077282154. The cubic root of 106822720 is about 474.4836050110.

The spelling of 106822720 in words is "one hundred six million, eight hundred twenty-two thousand, seven hundred twenty".