101000005 has 8 divisors (see below), whose sum is σ = 121490424. Its totient is φ = 80606400.

The previous prime is 100999993. The next prime is 101000023. The reversal of 101000005 is 500000101.

It can be written as a sum of positive squares in 4 ways, for example, as 2712609 + 98287396 = 1647^2 + 9914^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101000005 - 2¹¹ = 100997957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21886 + ... + 26095.

It is an arithmetic number, because the mean of its divisors is an integer number (15186303).

Almost surely, 2^101000005 is an apocalyptic number.

It is an amenable number.

101000005 is a deficient number, since it is larger than the sum of its proper divisors (20490419).

101000005 is an equidigital number, since it uses as much as digits as its factorization.

101000005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48407.

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 101000005 is about 10049.8758698802. The cubic root of 101000005 is about 465.7009584652.

Adding to 101000005 its reverse (500000101), we get a palindrome (601000106).

The spelling of 101000005 in words is "one hundred one million, five", and thus it is an aban number.