105001000011 has 12 divisors (see below), whose sum is σ = 152672537680. Its totient is φ = 69537085200.

The previous prime is 105001000007. The next prime is 105001000063. The reversal of 105001000011 is 110000100501.

It is not a de Polignac number, because 105001000011 - 2² = 105001000007 is a prime.

It is a super-2 number, since 2×105001000011² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105000999957 and 105001000002.

It is not an unprimeable number, because it can be changed into a prime (105001000411) 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, 38630356 + ... + 38633073.

Almost surely, 2^105001000011 is an apocalyptic number.

105001000011 is a deficient number, since it is larger than the sum of its proper divisors (47671537669).

105001000011 is a wasteful number, since it uses less digits than its factorization.

105001000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77263586 (or 77263583 counting only the distinct ones).

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

Adding to 105001000011 its reverse (110000100501), we get a palindrome (215001100512).

The spelling of 105001000011 in words is "one hundred five billion, one million, eleven", and thus it is an aban number.