105011011 has 16 divisors (see below), whose sum is σ = 123076800. Its totient is φ = 87740928.

The previous prime is 105011009. The next prime is 105011017. The reversal of 105011011 is 110110501.

It is a cyclic number.

It is not a de Polignac number, because 105011011 - 2¹ = 105011009 is a prime.

It is a super-2 number, since 2×105011011² = 22054624862484242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105011017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44325 + ... + 46633.

It is an arithmetic number, because the mean of its divisors is an integer number (7692300).

Almost surely, 2^105011011 is an apocalyptic number.

105011011 is a deficient number, since it is larger than the sum of its proper divisors (18065789).

105011011 is an equidigital number, since it uses as much as digits as its factorization.

105011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478.

The product of its (nonzero) digits is 5, while the sum is 10.

The square root of 105011011 is about 10247.4880336598. The cubic root of 105011011 is about 471.7858884166.

Adding to 105011011 its reverse (110110501), we get a palindrome (215121512).

The spelling of 105011011 in words is "one hundred five million, eleven thousand, eleven".