106284312 has 48 divisors (see below), whose sum is σ = 298520040. Its totient is φ = 35427456.

The previous prime is 106284307. The next prime is 106284317. The reversal of 106284312 is 213482601.

106284312 is a `hidden beast` number, since 1 + 0 + 628 + 4 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106284307) and next prime (106284317).

It is a super-2 number, since 2×106284312² = 22592709954626688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106284317) 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, 25393 + ... + 29280.

Almost surely, 2^106284312 is an apocalyptic number.

106284312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106284312 is an abundant number, since it is smaller than the sum of its proper divisors (192235728).

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

106284312 is an equidigital number, since it uses as much as digits as its factorization.

106284312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54694 (or 54678 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106284312 is about 10309.4283061671. The cubic root of 106284312 is about 473.6850976825.

The spelling of 106284312 in words is "one hundred six million, two hundred eighty-four thousand, three hundred twelve".