105010005006095 has 24 divisors (see below), whose sum is σ = 150160648287888. Its totient is φ = 70250595676800.

The previous prime is 105010005006031. The next prime is 105010005006097. The reversal of 105010005006095 is 590600500010501.

It is not a de Polignac number, because 105010005006095 - 2⁶ = 105010005006031 is a prime.

It is a super-2 number, since 2×105010005006095² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010005006097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5226968801 + ... + 5226988890.

It is an arithmetic number, because the mean of its divisors is an integer number (6256693678662).

Almost surely, 2^{105010005006095} is an apocalyptic number.

105010005006095 is a deficient number, since it is larger than the sum of its proper divisors (45150643281793).

105010005006095 is a wasteful number, since it uses less digits than its factorization.

105010005006095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10453957751 (or 10453957744 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 32.

Adding to 105010005006095 its reverse (590600500010501), we get a palindrome (695610505016596).

The spelling of 105010005006095 in words is "one hundred five trillion, ten billion, five million, six thousand, ninety-five".