10105000005606 has 64 divisors (see below), whose sum is σ = 22440883838976. Its totient is φ = 3007930464000.

The previous prime is 10105000005599. The next prime is 10105000005647. The reversal of 10105000005606 is 60650000050101.

It is a super-2 number, since 2×10105000005606² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5121535 + ... + 6814698.

It is an arithmetic number, because the mean of its divisors is an integer number (350638809984).

Almost surely, 2^{10105000005606} is an apocalyptic number.

10105000005606 is an abundant number, since it is smaller than the sum of its proper divisors (12335883833370).

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

10105000005606 is a wasteful number, since it uses less digits than its factorization.

10105000005606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11936477.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 10105000005606 its reverse (60650000050101), we get a palindrome (70755000055707).

The spelling of 10105000005606 in words is "ten trillion, one hundred five billion, five thousand, six hundred six".