106605732 has 48 divisors (see below), whose sum is σ = 268936640. Its totient is φ = 32752512.

The previous prime is 106605731. The next prime is 106605767. The reversal of 106605732 is 237506601.

It is a super-2 number, since 2×106605732² = 22729564190511648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106605732.

It is not an unprimeable number, because it can be changed into a prime (106605731) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2118 + ... + 14754.

Almost surely, 2^106605732 is an apocalyptic number.

106605732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106605732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134468320).

106605732 is an abundant number, since it is smaller than the sum of its proper divisors (162330908).

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

106605732 is a wasteful number, since it uses less digits than its factorization.

106605732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12700 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 106605732 is about 10325.0051815968. The cubic root of 106605732 is about 474.1621158518.

The spelling of 106605732 in words is "one hundred six million, six hundred five thousand, seven hundred thirty-two".