101005006 has 32 divisors (see below), whose sum is σ = 164487168. Its totient is φ = 46379520.

The previous prime is 101005001. The next prime is 101005013. The reversal of 101005006 is 600500101.

It is a super-2 number, since 2×101005006² = 20404022474120072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275035 + ... + 275401.

It is an arithmetic number, because the mean of its divisors is an integer number (5140224).

Almost surely, 2^101005006 is an apocalyptic number.

101005006 is a deficient number, since it is larger than the sum of its proper divisors (63482162).

101005006 is a wasteful number, since it uses less digits than its factorization.

101005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 101005006 is about 10050.1246758436. The cubic root of 101005006 is about 465.7086447092.

Adding to 101005006 its reverse (600500101), we get a palindrome (701505107).

The spelling of 101005006 in words is "one hundred one million, five thousand, six".