105526231201 has 2 divisors, whose sum is σ = 105526231202. Its totient is φ = 105526231200.

The previous prime is 105526231193. The next prime is 105526231229. The reversal of 105526231201 is 102132625501.

It is an a-pointer prime, because the next prime (105526231229) can be obtained adding 105526231201 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105219140625 + 307090576 = 324375^2 + 17524^2 .

It is an emirp because it is prime and its reverse (102132625501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105526231201 - 2³ = 105526231193 is a prime.

It is a super-2 number, since 2×105526231201² (a number of 23 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 105526231201.

It is not a weakly prime, because it can be changed into another prime (105526231801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52763115600 + 52763115601.

It is an arithmetic number, because the mean of its divisors is an integer number (52763115601).

Almost surely, 2^105526231201 is an apocalyptic number.

It is an amenable number.

105526231201 is a deficient number, since it is larger than the sum of its proper divisors (1).

105526231201 is an equidigital number, since it uses as much as digits as its factorization.

105526231201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 105526231201 its reverse (102132625501), we get a palindrome (207658856702).

The spelling of 105526231201 in words is "one hundred five billion, five hundred twenty-six million, two hundred thirty-one thousand, two hundred one".