106666632 has 80 divisors (see below), whose sum is σ = 302023260. Its totient is φ = 35168256.

The previous prime is 106666621. The next prime is 106666633. The reversal of 106666632 is 236666601.

It can be written as a sum of positive squares in 2 ways, for example, as 99082116 + 7584516 = 9954^2 + 2754^2 .

It is a super-2 number, since 2×106666632² = 22755540764446848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106666633) 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 19 ways as a sum of consecutive naturals, for example, 62008 + ... + 63704.

Almost surely, 2^106666632 is an apocalyptic number.

106666632 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 106666632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151011630).

106666632 is an abundant number, since it is smaller than the sum of its proper divisors (195356628).

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

106666632 is a wasteful number, since it uses less digits than its factorization.

106666632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 106666632 is about 10327.9539115935. The cubic root of 106666632 is about 474.2523892213.

The spelling of 106666632 in words is "one hundred six million, six hundred sixty-six thousand, six hundred thirty-two".