106644636 has 72 divisors (see below), whose sum is σ = 310433760. Its totient is φ = 30237696.

The previous prime is 106644631. The next prime is 106644641. The reversal of 106644636 is 636446601.

106644636 is a `hidden beast` number, since 1 + 0 + 6 + 644 + 6 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106644631) and next prime (106644641).

It is a super-2 number, since 2×106644636² = 22746156775144992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106644636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106644631) 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 23 ways as a sum of consecutive naturals, for example, 32980 + ... + 36068.

It is an arithmetic number, because the mean of its divisors is an integer number (4311580).

Almost surely, 2^106644636 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 106644636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155216880).

106644636 is an abundant number, since it is smaller than the sum of its proper divisors (203789124).

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

106644636 is a wasteful number, since it uses less digits than its factorization.

106644636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 106644636 is about 10326.8889797460. Note that the first 3 decimals coincide. The cubic root of 106644636 is about 474.2197880461.

The spelling of 106644636 in words is "one hundred six million, six hundred forty-four thousand, six hundred thirty-six".