105226564 has 27 divisors (see below), whose sum is σ = 193368063. Its totient is φ = 50100072.

The previous prime is 105226553. The next prime is 105226567. The reversal of 105226564 is 465622501.

The square root of 105226564 is 10258.

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

It is a super-2 number, since 2×105226564² = 22145259542492192, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105226567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 471757 + ... + 471979.

Almost surely, 2^105226564 is an apocalyptic number.

105226564 is the 10258-th square number.

It is an amenable number.

105226564 is a deficient number, since it is larger than the sum of its proper divisors (88141499).

105226564 is an equidigital number, since it uses as much as digits as its factorization.

105226564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 105226564 is about 472.1084747812.

Multiplying 105226564 by its product of nonzero digits (14400), we get a square (1515262521600 = 1230960²).

The spelling of 105226564 in words is "one hundred five million, two hundred twenty-six thousand, five hundred sixty-four".