105135132110401 has 2 divisors, whose sum is σ = 105135132110402. Its totient is φ = 105135132110400.

The previous prime is 105135132110353. The next prime is 105135132110417. The reversal of 105135132110401 is 104011231531501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68740697582001 + 36394434528400 = 8291001^2 + 6032780^2 .

It is a cyclic number.

It is not a de Polignac number, because 105135132110401 - 2¹⁹ = 105135131586113 is a prime.

It is a super-2 number, since 2×105135132110401² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105135132110401.

It is not a weakly prime, because it can be changed into another prime (105135132110431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52567566055200 + 52567566055201.

It is an arithmetic number, because the mean of its divisors is an integer number (52567566055201).

Almost surely, 2^{105135132110401} is an apocalyptic number.

It is an amenable number.

105135132110401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105135132110401 is an equidigital number, since it uses as much as digits as its factorization.

105135132110401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 105135132110401 its reverse (104011231531501), we get a palindrome (209146363641902).

The spelling of 105135132110401 in words is "one hundred five trillion, one hundred thirty-five billion, one hundred thirty-two million, one hundred ten thousand, four hundred one".