106333312 has 16 divisors (see below), whose sum is σ = 211836150. Its totient is φ = 53166592.

The previous prime is 106333277. The next prime is 106333369. The reversal of 106333312 is 213333601.

It can be written as a sum of positive squares in only one way, i.e., 102738496 + 3594816 = 10136^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×106333312² = 22613546481778688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415237 + ... + 415492.

Almost surely, 2^106333312 is an apocalyptic number.

It is an amenable number.

106333312 is a deficient number, since it is larger than the sum of its proper divisors (105502838).

106333312 is an frugal number, since it uses more digits than its factorization.

106333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830743 (or 830731 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 106333312 is about 10311.8044977589. The cubic root of 106333312 is about 473.7578804648.

Adding to 106333312 its reverse (213333601), we get a palindrome (319666913).

The spelling of 106333312 in words is "one hundred six million, three hundred thirty-three thousand, three hundred twelve".