105525321101 has 2 divisors, whose sum is σ = 105525321102. Its totient is φ = 105525321100.

The previous prime is 105525321089. The next prime is 105525321103. The reversal of 105525321101 is 101123525501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103506975625 + 2018345476 = 321725^2 + 44926^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105525321101 is a prime.

It is a super-2 number, since 2×105525321101² (a number of 23 digits) contains 22 as substring.

Together with 105525321103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105525321103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52762660550 + 52762660551.

It is an arithmetic number, because the mean of its divisors is an integer number (52762660551).

Almost surely, 2^105525321101 is an apocalyptic number.

It is an amenable number.

105525321101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105525321101 is an equidigital number, since it uses as much as digits as its factorization.

105525321101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1500, while the sum is 26.

Adding to 105525321101 its reverse (101123525501), we get a palindrome (206648846602).

The spelling of 105525321101 in words is "one hundred five billion, five hundred twenty-five million, three hundred twenty-one thousand, one hundred one".