106564329 has 45 divisors (see below), whose sum is σ = 169055271. Its totient is φ = 66893040.

The previous prime is 106564261. The next prime is 106564333. The reversal of 106564329 is 923465601.

It is a happy number.

The square root of 106564329 is 10323.

It is a perfect power (a square), and thus also a powerful number.

106564329 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 643 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95355225 + 11209104 = 9765^2 + 3348^2 .

It is not a de Polignac number, because 106564329 - 2¹³ = 106556137 is a prime.

It is a super-2 number, since 2×106564329² = 22711912430440482, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106564293 and 106564302.

It is not an unprimeable number, because it can be changed into a prime (106564349) 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 44 ways as a sum of consecutive naturals, for example, 2880099 + ... + 2880135.

Almost surely, 2^106564329 is an apocalyptic number.

106564329 is the 10323-rd square number.

106564329 is the 5162-nd centered octagonal number.

It is an amenable number.

106564329 is a deficient number, since it is larger than the sum of its proper divisors (62490942).

106564329 is an frugal number, since it uses more digits than its factorization.

106564329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 106564329 is about 474.1007236679.

Multiplying 106564329 by its sum of digits (36), we get a square (3836315844 = 61938²).

The spelling of 106564329 in words is "one hundred six million, five hundred sixty-four thousand, three hundred twenty-nine".