106545312 has 72 divisors (see below), whose sum is σ = 318951360. Its totient is φ = 33644160.

The previous prime is 106545301. The next prime is 106545319. The reversal of 106545312 is 213545601.

106545312 is a `hidden beast` number, since 1 + 0 + 654 + 5 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106545312² = 22703807018354688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106545319) 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, 4264 + ... + 15207.

It is an arithmetic number, because the mean of its divisors is an integer number (4429880).

Almost surely, 2^106545312 is an apocalyptic number.

106545312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106545312 is an abundant number, since it is smaller than the sum of its proper divisors (212406048).

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

106545312 is a wasteful number, since it uses less digits than its factorization.

106545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19506 (or 19495 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106545312 is about 10322.0788603847. The cubic root of 106545312 is about 474.0725200156.

The spelling of 106545312 in words is "one hundred six million, five hundred forty-five thousand, three hundred twelve".