106500636 has 96 divisors (see below), whose sum is σ = 303663360. Its totient is φ = 32011200.

The previous prime is 106500629. The next prime is 106500677. The reversal of 106500636 is 636005601.

106500636 is a `hidden beast` number, since 1 + 0 + 650 + 0 + 6 + 3 + 6 = 666.

It is a super-2 number, since 2×106500636² = 22684770936808992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186231 + ... + 186801.

It is an arithmetic number, because the mean of its divisors is an integer number (3163160).

Almost surely, 2^106500636 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 106500636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151831680).

106500636 is an abundant number, since it is smaller than the sum of its proper divisors (197162724).

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

106500636 is a wasteful number, since it uses less digits than its factorization.

106500636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106500636 is about 10319.9145345298. The cubic root of 106500636 is about 474.0062489162.

The spelling of 106500636 in words is "one hundred six million, five hundred thousand, six hundred thirty-six".