106888272 has 20 divisors (see below), whose sum is σ = 276128160. Its totient is φ = 35629408.

The previous prime is 106888267. The next prime is 106888289. The reversal of 106888272 is 272888601.

It is a super-2 number, since 2×106888272² = 22850205382291968, which contains 22 as substring.

It is a congruent number.

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, 1113372 + ... + 1113467.

It is an arithmetic number, because the mean of its divisors is an integer number (13806408).

Almost surely, 2^106888272 is an apocalyptic number.

106888272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106888272 is an abundant number, since it is smaller than the sum of its proper divisors (169239888).

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

106888272 is a wasteful number, since it uses less digits than its factorization.

106888272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226850 (or 2226844 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 106888272 is about 10338.6784455268. The cubic root of 106888272 is about 474.5806411385.

The spelling of 106888272 in words is "one hundred six million, eight hundred eighty-eight thousand, two hundred seventy-two".