106078272 has 28 divisors (see below), whose sum is σ = 280665936. Its totient is φ = 35359360.

The previous prime is 106078261. The next prime is 106078279. The reversal of 106078272 is 272870601.

It is a super-2 number, since 2×106078272² = 22505199581011968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106078279) 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, 276054 + ... + 276437.

Almost surely, 2^106078272 is an apocalyptic number.

106078272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106078272 is an abundant number, since it is smaller than the sum of its proper divisors (174587664).

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

106078272 is an equidigital number, since it uses as much as digits as its factorization.

106078272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552506 (or 552496 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 106078272 is about 10299.4306638765. The cubic root of 106078272 is about 473.3788084766.

The spelling of 106078272 in words is "one hundred six million, seventy-eight thousand, two hundred seventy-two".