106265712 has 60 divisors (see below), whose sum is σ = 319346376. Its totient is φ = 30360960.

The previous prime is 106265707. The next prime is 106265713. The reversal of 106265712 is 217562601.

It is a super-2 number, since 2×106265712² = 22584803093733888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106265712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106265713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20239 + ... + 24942.

Almost surely, 2^106265712 is an apocalyptic number.

106265712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106265712 is an abundant number, since it is smaller than the sum of its proper divisors (213080664).

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

106265712 is a wasteful number, since it uses less digits than its factorization.

106265712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45206 (or 45193 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106265712 is about 10308.5261798183. The cubic root of 106265712 is about 473.6574640752.

The spelling of 106265712 in words is "one hundred six million, two hundred sixty-five thousand, seven hundred twelve".