106630912 has 72 divisors (see below), whose sum is σ = 225167040. Its totient is φ = 50319360.

The previous prime is 106630903. The next prime is 106630943. The reversal of 106630912 is 219036601.

It is a super-2 number, since 2×106630912² = 22740302787903488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 393337 + ... + 393607.

It is an arithmetic number, because the mean of its divisors is an integer number (3127320).

Almost surely, 2^106630912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112583520).

106630912 is an abundant number, since it is smaller than the sum of its proper divisors (118536128).

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

106630912 is an equidigital number, since it uses as much as digits as its factorization.

106630912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 106630912 is about 10326.2244794504. The cubic root of 106630912 is about 474.1994448708.

The spelling of 106630912 in words is "one hundred six million, six hundred thirty thousand, nine hundred twelve".