106755312 has 20 divisors (see below), whose sum is σ = 275784680. Its totient is φ = 35585088.

The previous prime is 106755263. The next prime is 106755317. The reversal of 106755312 is 213557601.

It is a super-2 number, since 2×106755312² = 22793393280434688, 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 106755312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106755317) 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, 1111987 + ... + 1112082.

It is an arithmetic number, because the mean of its divisors is an integer number (13789234).

Almost surely, 2^106755312 is an apocalyptic number.

106755312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106755312 is an abundant number, since it is smaller than the sum of its proper divisors (169029368).

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

106755312 is a wasteful number, since it uses less digits than its factorization.

106755312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224080 (or 2224074 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 106755312 is about 10332.2462223855. The cubic root of 106755312 is about 474.3837800524.

The spelling of 106755312 in words is "one hundred six million, seven hundred fifty-five thousand, three hundred twelve".