10205242453205 has 16 divisors (see below), whose sum is σ = 12261054086400. Its totient is φ = 8154357730560.

The previous prime is 10205242453201. The next prime is 10205242453267. The reversal of 10205242453205 is 50235424250201.

It is a happy number.

It is not a de Polignac number, because 10205242453205 - 2² = 10205242453201 is a prime.

It is a super-2 number, since 2×10205242453205² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205242453201) 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, 13624400 + ... + 14353910.

It is an arithmetic number, because the mean of its divisors is an integer number (766315880400).

Almost surely, 2^{10205242453205} is an apocalyptic number.

It is an amenable number.

10205242453205 is a deficient number, since it is larger than the sum of its proper divisors (2055811633195).

10205242453205 is a wasteful number, since it uses less digits than its factorization.

10205242453205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732884.

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 10205242453205 in words is "ten trillion, two hundred five billion, two hundred forty-two million, four hundred fifty-three thousand, two hundred five".