10005100106107 has 4 divisors (see below), whose sum is σ = 10005784417296. Its totient is φ = 10004415794920.

The previous prime is 10005100106077. The next prime is 10005100106119. The reversal of 10005100106107 is 70160100150001.

10005100106107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10005100106107 - 2¹⁹ = 10005099581819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005100106167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 342133663 + ... + 342162904.

It is an arithmetic number, because the mean of its divisors is an integer number (2501446104324).

Almost surely, 2^{10005100106107} is an apocalyptic number.

10005100106107 is a deficient number, since it is larger than the sum of its proper divisors (684311189).

10005100106107 is an equidigital number, since it uses as much as digits as its factorization.

10005100106107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684311188.

The product of its (nonzero) digits is 210, while the sum is 22.

Adding to 10005100106107 its reverse (70160100150001), we get a palindrome (80165200256108).

The spelling of 10005100106107 in words is "ten trillion, five billion, one hundred million, one hundred six thousand, one hundred seven".