105654224101 has 2 divisors, whose sum is σ = 105654224102. Its totient is φ = 105654224100.

The previous prime is 105654224077. The next prime is 105654224111. The reversal of 105654224101 is 101422456501.

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., 97684377025 + 7969847076 = 312545^2 + 89274^2 .

It is a cyclic number.

It is not a de Polignac number, because 105654224101 - 2¹¹ = 105654222053 is a prime.

It is a super-2 number, since 2×105654224101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105654224111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52827112050 + 52827112051.

It is an arithmetic number, because the mean of its divisors is an integer number (52827112051).

Almost surely, 2^105654224101 is an apocalyptic number.

It is an amenable number.

105654224101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105654224101 is an equidigital number, since it uses as much as digits as its factorization.

105654224101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 105654224101 in words is "one hundred five billion, six hundred fifty-four million, two hundred twenty-four thousand, one hundred one".