106248272 has 30 divisors (see below), whose sum is σ = 222914862. Its totient is φ = 49036416.

The previous prime is 106248251. The next prime is 106248319. The reversal of 106248272 is 272842601.

It can be written as a sum of positive squares in 3 ways, for example, as 8317456 + 97930816 = 2884^2 + 9896^2 .

It is a super-2 number, since 2×106248272² = 22577390605971968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16943 + ... + 22350.

Almost surely, 2^106248272 is an apocalyptic number.

It is an amenable number.

106248272 is an abundant number, since it is smaller than the sum of its proper divisors (116666590).

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

106248272 is a wasteful number, since it uses less digits than its factorization.

106248272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39327 (or 39308 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 106248272 is about 10307.6802433913. The cubic root of 106248272 is about 473.6315509249.

The spelling of 106248272 in words is "one hundred six million, two hundred forty-eight thousand, two hundred seventy-two".