10005100106106 has 64 divisors (see below), whose sum is σ = 23065368883200. Its totient is φ = 2834086176576.

The previous prime is 10005100106077. The next prime is 10005100106119. The reversal of 10005100106106 is 60160100150001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005736 + ... + 5389308.

It is an arithmetic number, because the mean of its divisors is an integer number (360396388800).

Almost surely, 2^{10005100106106} is an apocalyptic number.

10005100106106 is an abundant number, since it is smaller than the sum of its proper divisors (13060268777094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005100106106 is a wasteful number, since it uses less digits than its factorization.

10005100106106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384443.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10005100106106 its reverse (60160100150001), we get a palindrome (70165200256107).

The spelling of 10005100106106 in words is "ten trillion, five billion, one hundred million, one hundred six thousand, one hundred six".