105001011 has 12 divisors (see below), whose sum is σ = 159650920. Its totient is φ = 66316320.

The previous prime is 105001007. The next prime is 105001019. The reversal of 105001011 is 110100501.

It is not a de Polignac number, because 105001011 - 2² = 105001007 is a prime.

It is a super-2 number, since 2×105001011² = 22050424622044242, 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 = 105000984 and 105001002.

It is not an unprimeable number, because it can be changed into a prime (105001019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306850 + ... + 307191.

Almost surely, 2^105001011 is an apocalyptic number.

105001011 is a deficient number, since it is larger than the sum of its proper divisors (54649909).

105001011 is a wasteful number, since it uses less digits than its factorization.

105001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614066 (or 614063 counting only the distinct ones).

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

The square root of 105001011 is about 10247.0000975895. Note that the first 4 decimals coincide. The cubic root of 105001011 is about 471.7709121819.

Adding to 105001011 its reverse (110100501), we get a palindrome (215101512).

It can be divided in two parts, 10500 and 1011, that added together give a palindrome (11511).

The spelling of 105001011 in words is "one hundred five million, one thousand, eleven".