106564536 has 96 divisors (see below), whose sum is σ = 312726960. Its totient is φ = 32587776.

The previous prime is 106564519. The next prime is 106564553. The reversal of 106564536 is 635465601.

106564536 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 645 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106564519) and next prime (106564553).

It is a super-2 number, since 2×106564536² = 22712000665790592, 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 106564536.

It is a congruent number.

It is an unprimeable number.

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, 240331 + ... + 240773.

Almost surely, 2^106564536 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 106564536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156363480).

106564536 is an abundant number, since it is smaller than the sum of its proper divisors (206162424).

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

106564536 is a wasteful number, since it uses less digits than its factorization.

106564536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 106564536 is about 10323.0100261503. The cubic root of 106564536 is about 474.1010306461.

The spelling of 106564536 in words is "one hundred six million, five hundred sixty-four thousand, five hundred thirty-six".