10405104101461 has 2 divisors, whose sum is σ = 10405104101462. Its totient is φ = 10405104101460.

The previous prime is 10405104101419. The next prime is 10405104101467. The reversal of 10405104101461 is 16410140150401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8597708874225 + 1807395227236 = 2932185^2 + 1344394^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405104101461 - 2⁹ = 10405104100949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10405104101467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202552050730 + 5202552050731.

It is an arithmetic number, because the mean of its divisors is an integer number (5202552050731).

Almost surely, 2^{10405104101461} is an apocalyptic number.

It is an amenable number.

10405104101461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405104101461 is an equidigital number, since it uses as much as digits as its factorization.

10405104101461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 10405104101461 its reverse (16410140150401), we get a palindrome (26815244251862).

The spelling of 10405104101461 in words is "ten trillion, four hundred five billion, one hundred four million, one hundred one thousand, four hundred sixty-one".