10105653165721 has 27 divisors (see below), whose sum is σ = 10405392148821. Its totient is φ = 9814452816504.

The previous prime is 10105653165701. The next prime is 10105653165749. The reversal of 10105653165721 is 12756135650101.

The square root of 10105653165721 is 3178939.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10105653165721 - 2¹¹ = 10105653163673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105653165701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35709021646 + ... + 35709021928.

Almost surely, 2^{10105653165721} is an apocalyptic number.

10105653165721 is the 3178939-th square number.

10105653165721 is the 1589470-th centered octagonal number.

It is an amenable number.

10105653165721 is a deficient number, since it is larger than the sum of its proper divisors (299738983100).

10105653165721 is an frugal number, since it uses more digits than its factorization.

10105653165721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 43.

The spelling of 10105653165721 in words is "ten trillion, one hundred five billion, six hundred fifty-three million, one hundred sixty-five thousand, seven hundred twenty-one".