105405211201 has 2 divisors, whose sum is σ = 105405211202. Its totient is φ = 105405211200.

The previous prime is 105405211189. The next prime is 105405211213. The reversal of 105405211201 is 102112504501.

It is a balanced prime because it is at equal distance from previous prime (105405211189) and next prime (105405211213).

It can be written as a sum of positive squares in only one way, i.e., 105203571201 + 201640000 = 324351^2 + 14200^2 .

It is a cyclic number.

It is not a de Polignac number, because 105405211201 - 2¹⁵ = 105405178433 is a prime.

It is a super-2 number, since 2×105405211201² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105405211271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52702605600 + 52702605601.

It is an arithmetic number, because the mean of its divisors is an integer number (52702605601).

Almost surely, 2^105405211201 is an apocalyptic number.

It is an amenable number.

105405211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

105405211201 is an equidigital number, since it uses as much as digits as its factorization.

105405211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 105405211201 its reverse (102112504501), we get a palindrome (207517715702).

The spelling of 105405211201 in words is "one hundred five billion, four hundred five million, two hundred eleven thousand, two hundred one".