106218272 has 24 divisors (see below), whose sum is σ = 212067072. Its totient is φ = 52360000.

The previous prime is 106218269. The next prime is 106218289. The reversal of 106218272 is 272812601.

It is a super-2 number, since 2×106218272² = 22564642613331968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21104 + ... + 25647.

It is an arithmetic number, because the mean of its divisors is an integer number (8836128).

Almost surely, 2^106218272 is an apocalyptic number.

It is an amenable number.

106218272 is a deficient number, since it is larger than the sum of its proper divisors (105848800).

106218272 is an equidigital number, since it uses as much as digits as its factorization.

106218272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46832 (or 46824 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 106218272 is about 10306.2249150695. The cubic root of 106218272 is about 473.5869689165.

The spelling of 106218272 in words is "one hundred six million, two hundred eighteen thousand, two hundred seventy-two".