100006011 has 36 divisors (see below), whose sum is σ = 172166904. Its totient is φ = 55742400.

The previous prime is 100005991. The next prime is 100006033. The reversal of 100006011 is 110600001.

It is not a de Polignac number, because 100006011 - 2¹¹ = 100003963 is a prime.

It is a super-2 number, since 2×100006011² = 20002404472264242, 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 = 100005984 and 100006002.

It is not an unprimeable number, because it can be changed into a prime (100006061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15316 + ... + 20846.

It is an arithmetic number, because the mean of its divisors is an integer number (4782414).

Almost surely, 2^100006011 is an apocalyptic number.

100006011 is a deficient number, since it is larger than the sum of its proper divisors (72160893).

100006011 is a wasteful number, since it uses less digits than its factorization.

100006011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100006011 is about 10000.3005454836. The cubic root of 100006011 is about 464.1681833718.

Adding to 100006011 its reverse (110600001), we get a palindrome (210606012).

The spelling of 100006011 in words is "one hundred million, six thousand, eleven".