106455312 has 30 divisors (see below), whose sum is σ = 297927422. Its totient is φ = 35485056.

The previous prime is 106455301. The next prime is 106455353. The reversal of 106455312 is 213554601.

106455312 is a `hidden beast` number, since 1 + 0 + 645 + 5 + 3 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104775696 + 1679616 = 10236^2 + 1296^2 .

It is a super-2 number, since 2×106455312² = 22665466906034688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 369493 + ... + 369780.

Almost surely, 2^106455312 is an apocalyptic number.

106455312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106455312 is an abundant number, since it is smaller than the sum of its proper divisors (191472110).

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

106455312 is a wasteful number, since it uses less digits than its factorization.

106455312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739287 (or 739278 counting only the distinct ones).

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

The square root of 106455312 is about 10317.7183524266. The cubic root of 106455312 is about 473.9389976508.

The spelling of 106455312 in words is "one hundred six million, four hundred fifty-five thousand, three hundred twelve".