106668032 has 56 divisors (see below), whose sum is σ = 221170500. Its totient is φ = 51380224.

The previous prime is 106668017. The next prime is 106668053. The reversal of 106668032 is 230866601.

106668032 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 106172416 + 495616 = 10304^2 + 704^2 .

It is a super-2 number, since 2×106668032² = 22756138101506048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 106668032.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237344 + ... + 237792.

Almost surely, 2^106668032 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 106668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110585250).

106668032 is an abundant number, since it is smaller than the sum of its proper divisors (114502468).

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

106668032 is an frugal number, since it uses more digits than its factorization.

106668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 106668032 is about 10328.0216885907. The cubic root of 106668032 is about 474.2544640671.

The spelling of 106668032 in words is "one hundred six million, six hundred sixty-eight thousand, thirty-two".