106663312 has 60 divisors (see below), whose sum is σ = 244293888. Its totient is φ = 44193600.

The previous prime is 106663309. The next prime is 106663339. The reversal of 106663312 is 213366601.

It is a super-2 number, since 2×106663312² = 22754124253618688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107137 + ... + 108127.

Almost surely, 2^106663312 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 106663312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122146944).

106663312 is an abundant number, since it is smaller than the sum of its proper divisors (137630576).

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

106663312 is an equidigital number, since it uses as much as digits as its factorization.

106663312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 106663312 is about 10327.7931815078. The cubic root of 106663312 is about 474.2474688001.

The spelling of 106663312 in words is "one hundred six million, six hundred sixty-three thousand, three hundred twelve".