10205234604261 has 24 divisors (see below), whose sum is σ = 14853771984480. Its totient is φ = 6751394863200.

The previous prime is 10205234604217. The next prime is 10205234604281. The reversal of 10205234604261 is 16240643250201.

10205234604261 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 23 + 4 + 604 + 26 + 1 = 666.

It is not a de Polignac number, because 10205234604261 - 2³³ = 10196644669669 is a prime.

It is a super-2 number, since 2×10205234604261² (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 (10205234604281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70123791 + ... + 70269171.

It is an arithmetic number, because the mean of its divisors is an integer number (618907166020).

Almost surely, 2^{10205234604261} is an apocalyptic number.

It is an amenable number.

10205234604261 is a deficient number, since it is larger than the sum of its proper divisors (4648537380219).

10205234604261 is a wasteful number, since it uses less digits than its factorization.

10205234604261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205057 (or 205054 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10205234604261 its reverse (16240643250201), we get a palindrome (26445877854462).

The spelling of 10205234604261 in words is "ten trillion, two hundred five billion, two hundred thirty-four million, six hundred four thousand, two hundred sixty-one".