105263737441 has 2 divisors, whose sum is σ = 105263737442. Its totient is φ = 105263737440.

The previous prime is 105263737351. The next prime is 105263737489. The reversal of 105263737441 is 144737362501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91644847441 + 13618890000 = 302729^2 + 116700^2 .

It is a cyclic number.

It is not a de Polignac number, because 105263737441 - 2¹¹ = 105263735393 is a prime.

It is a super-2 number, since 2×105263737441² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105263737841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52631868720 + 52631868721.

It is an arithmetic number, because the mean of its divisors is an integer number (52631868721).

Almost surely, 2^105263737441 is an apocalyptic number.

It is an amenable number.

105263737441 is a deficient number, since it is larger than the sum of its proper divisors (1).

105263737441 is an equidigital number, since it uses as much as digits as its factorization.

105263737441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 105263737441 in words is "one hundred five billion, two hundred sixty-three million, seven hundred thirty-seven thousand, four hundred forty-one".