105100011 has 40 divisors (see below), whose sum is σ = 162043200. Its totient is φ = 67858560.

The previous prime is 105099997. The next prime is 105100043. The reversal of 105100011 is 110001501.

It is not a de Polignac number, because 105100011 - 2²¹ = 103002859 is a prime.

It is a super-2 number, since 2×105100011² = 22092024624400242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 105099966 and 105100002.

It is not an unprimeable number, because it can be changed into a prime (105100211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439630 + ... + 439868.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2^105100011 is an apocalyptic number.

105100011 is a deficient number, since it is larger than the sum of its proper divisors (56943189).

105100011 is an equidigital number, since it uses as much as digits as its factorization.

105100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 105100011 is about 10251.8296415811. The cubic root of 105100011 is about 471.9191350383.

Adding to 105100011 its reverse (110001501), we get a palindrome (215101512).

The spelling of 105100011 in words is "one hundred five million, one hundred thousand, eleven".