106270268 has 48 divisors (see below), whose sum is σ = 218148000. Its totient is φ = 44851968.

The previous prime is 106270223. The next prime is 106270273. The reversal of 106270268 is 862072601.

It is a super-2 number, since 2×106270268² = 22586739721583648, 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 15 ways as a sum of consecutive naturals, for example, 26798 + ... + 30506.

It is an arithmetic number, because the mean of its divisors is an integer number (4544750).

Almost surely, 2^106270268 is an apocalyptic number.

It is an amenable number.

106270268 is an abundant number, since it is smaller than the sum of its proper divisors (111877732).

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

106270268 is a wasteful number, since it uses less digits than its factorization.

106270268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 106270268 is about 10308.7471595728. The cubic root of 106270268 is about 473.6642331215.

The spelling of 106270268 in words is "one hundred six million, two hundred seventy thousand, two hundred sixty-eight".