10645621105261 has 16 divisors (see below), whose sum is σ = 10761287205888. Its totient is φ = 10530160272000.

The previous prime is 10645621105253. The next prime is 10645621105283. The reversal of 10645621105261 is 16250112654601.

It is a cyclic number.

It is not a de Polignac number, because 10645621105261 - 2³ = 10645621105253 is a prime.

It is a super-2 number, since 2×10645621105261² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645621105201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 824532396 + ... + 824545306.

It is an arithmetic number, because the mean of its divisors is an integer number (672580450368).

Almost surely, 2^{10645621105261} is an apocalyptic number.

It is an amenable number.

10645621105261 is a deficient number, since it is larger than the sum of its proper divisors (115666100627).

10645621105261 is a wasteful number, since it uses less digits than its factorization.

10645621105261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20172.

The product of its (nonzero) digits is 86400, while the sum is 40.

Adding to 10645621105261 its reverse (16250112654601), we get a palindrome (26895733759862).

The spelling of 10645621105261 in words is "ten trillion, six hundred forty-five billion, six hundred twenty-one million, one hundred five thousand, two hundred sixty-one".