106305264 has 160 divisors (see below), whose sum is σ = 343311360. Its totient is φ = 31249152.

The previous prime is 106305257. The next prime is 106305289. The reversal of 106305264 is 462503601.

106305264 is a `hidden beast` number, since 1 + 0 + 630 + 5 + 26 + 4 = 666.

It is a super-2 number, since 2×106305264² = 22601618308219392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 128757 + ... + 129579.

It is an arithmetic number, because the mean of its divisors is an integer number (2145696).

Almost surely, 2^106305264 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 106305264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171655680).

106305264 is an abundant number, since it is smaller than the sum of its proper divisors (237006096).

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

106305264 is a wasteful number, since it uses less digits than its factorization.

106305264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 864 counting only the distinct ones).

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

The square root of 106305264 is about 10310.4444133122. Note that the first 4 decimals coincide. The cubic root of 106305264 is about 473.7162217431.

Adding to 106305264 its reverse (462503601), we get a palindrome (568808865).

The spelling of 106305264 in words is "one hundred six million, three hundred five thousand, two hundred sixty-four".