105226011 has 24 divisors (see below), whose sum is σ = 166932480. Its totient is φ = 63342000.

The previous prime is 105225959. The next prime is 105226013. The reversal of 105226011 is 110622501.

105226011 is a `hidden beast` number, since 10 + 52 + 2 + 601 + 1 = 666.

It is not a de Polignac number, because 105226011 - 2⁹ = 105225499 is a prime.

It is a super-2 number, since 2×105226011² = 22145026781944242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105226013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11430 + ... + 18468.

It is an arithmetic number, because the mean of its divisors is an integer number (6955520).

Almost surely, 2^105226011 is an apocalyptic number.

105226011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105226011 is a deficient number, since it is larger than the sum of its proper divisors (61706469).

105226011 is a wasteful number, since it uses less digits than its factorization.

105226011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105226011 is about 10257.9730453925. The cubic root of 105226011 is about 472.1076477516.

Adding to 105226011 its reverse (110622501), we get a palindrome (215848512).

The spelling of 105226011 in words is "one hundred five million, two hundred twenty-six thousand, eleven".