10005105106 has 16 divisors (see below), whose sum is σ = 15496104960. Its totient is φ = 4839827040.

The previous prime is 10005105049. The next prime is 10005105151. The reversal of 10005105106 is 60150150001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222390 + ... + 263566.

It is an arithmetic number, because the mean of its divisors is an integer number (968506560).

Almost surely, 2^10005105106 is an apocalyptic number.

10005105106 is a deficient number, since it is larger than the sum of its proper divisors (5490999854).

10005105106 is a wasteful number, since it uses less digits than its factorization.

10005105106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45129.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 10005105106 its reverse (60150150001), we get a palindrome (70155255107).

The spelling of 10005105106 in words is "ten billion, five million, one hundred five thousand, one hundred six".