105721361 has 2 divisors, whose sum is σ = 105721362. Its totient is φ = 105721360.

The previous prime is 105721349. The next prime is 105721373. The reversal of 105721361 is 163127501.

It is a balanced prime because it is at equal distance from previous prime (105721349) and next prime (105721373).

It can be written as a sum of positive squares in only one way, i.e., 98883136 + 6838225 = 9944^2 + 2615^2 .

It is an emirp because it is prime and its reverse (163127501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105721361 - 2¹⁸ = 105459217 is a prime.

It is a super-2 number, since 2×105721361² = 22354012343384642, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105721361.

It is not a weakly prime, because it can be changed into another prime (105721381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52860680 + 52860681.

It is an arithmetic number, because the mean of its divisors is an integer number (52860681).

Almost surely, 2^105721361 is an apocalyptic number.

It is an amenable number.

105721361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105721361 is an equidigital number, since it uses as much as digits as its factorization.

105721361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 105721361 is about 10282.0893304814. The cubic root of 105721361 is about 472.8473017461.

Adding to 105721361 its reverse (163127501), we get a palindrome (268848862).

The spelling of 105721361 in words is "one hundred five million, seven hundred twenty-one thousand, three hundred sixty-one".