10106000600105 has 16 divisors (see below), whose sum is σ = 12294384364944. Its totient is φ = 7973363773440.

The previous prime is 10106000600093. The next prime is 10106000600117. The reversal of 10106000600105 is 50100600060101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10106000600093) and next prime (10106000600117).

It can be written as a sum of positive squares in 8 ways, for example, as 740393132521 + 9365607467584 = 860461^2 + 3060328^2 .

It is not a de Polignac number, because 10106000600105 - 2⁴ = 10106000600089 is a prime.

It is a super-2 number, since 2×10106000600105² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3078407 + ... + 5448723.

It is an arithmetic number, because the mean of its divisors is an integer number (768399022809).

Almost surely, 2^{10106000600105} is an apocalyptic number.

It is an amenable number.

10106000600105 is a deficient number, since it is larger than the sum of its proper divisors (2188383764839).

10106000600105 is a wasteful number, since it uses less digits than its factorization.

10106000600105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382076.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10106000600105 its reverse (50100600060101), we get a palindrome (60206600660206).

The spelling of 10106000600105 in words is "ten trillion, one hundred six billion, six hundred thousand, one hundred five".