106564302 has 48 divisors (see below), whose sum is σ = 256448880. Its totient is φ = 32786208.

The previous prime is 106564261. The next prime is 106564333. The reversal of 106564302 is 203465601.

106564302 is a `hidden beast` number, since 1 + 0 + 656 + 4 + 3 + 0 + 2 = 666.

It is a super-2 number, since 2×106564302² = 22711900921494408, 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3288 + ... + 14964.

It is an arithmetic number, because the mean of its divisors is an integer number (5342685).

Almost surely, 2^106564302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106564302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128224440).

106564302 is an abundant number, since it is smaller than the sum of its proper divisors (149884578).

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

106564302 is a wasteful number, since it uses less digits than its factorization.

106564302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11714 (or 11695 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106564302 is about 10322.9986922405. The cubic root of 106564302 is about 474.1006836272.

Adding to 106564302 its sum of digits (27), we get a square (106564329 = 10323²).

The spelling of 106564302 in words is "one hundred six million, five hundred sixty-four thousand, three hundred two".