101000600105 has 8 divisors (see below), whose sum is σ = 121202487432. Its totient is φ = 80799301888.

The previous prime is 101000600093. The next prime is 101000600117. The reversal of 101000600105 is 501006000101.

It is an interprime number because it is at equal distance from previous prime (101000600093) and next prime (101000600117).

It can be written as a sum of positive squares in 4 ways, for example, as 37864489744 + 63136110361 = 194588^2 + 251269^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101000600105 - 2⁴ = 101000600089 is a prime.

It is a super-2 number, since 2×101000600105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000600105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450449 + ... + 636321.

It is an arithmetic number, because the mean of its divisors is an integer number (15150310929).

Almost surely, 2^101000600105 is an apocalyptic number.

It is an amenable number.

101000600105 is a deficient number, since it is larger than the sum of its proper divisors (20201887327).

101000600105 is a wasteful number, since it uses less digits than its factorization.

101000600105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294555.

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 101000600105 its reverse (501006000101), we get a palindrome (602006600206).

The spelling of 101000600105 in words is "one hundred one billion, six hundred thousand, one hundred five".