106791312 has 40 divisors (see below), whose sum is σ = 276259104. Its totient is φ = 35547904.

The previous prime is 106791301. The next prime is 106791319. The reversal of 106791312 is 213197601.

It is a super-2 number, since 2×106791312² = 22808768637362688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106791312.

It is not an unprimeable number, because it can be changed into a prime (106791319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54868 + ... + 56780.

Almost surely, 2^106791312 is an apocalyptic number.

106791312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106791312 is an abundant number, since it is smaller than the sum of its proper divisors (169467792).

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

106791312 is a wasteful number, since it uses less digits than its factorization.

106791312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 106791312 is about 10333.9881943033. The cubic root of 106791312 is about 474.4370979201.

The spelling of 106791312 in words is "one hundred six million, seven hundred ninety-one thousand, three hundred twelve".