10105605056007 has 20 divisors (see below), whose sum is σ = 15229620481680. Its totient is φ = 6677449942464.

The previous prime is 10105605055979. The next prime is 10105605056009. The reversal of 10105605056007 is 70065050650101.

It is not a de Polignac number, because 10105605056007 - 2⁸ = 10105605055751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105605056009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 552028707 + ... + 552047012.

It is an arithmetic number, because the mean of its divisors is an integer number (761481024084).

Almost surely, 2^{10105605056007} is an apocalyptic number.

10105605056007 is a deficient number, since it is larger than the sum of its proper divisors (5124015425673).

10105605056007 is a wasteful number, since it uses less digits than its factorization.

10105605056007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104075844 (or 1104075835 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 10105605056007 in words is "ten trillion, one hundred five billion, six hundred five million, fifty-six thousand, seven".