105521653 has 2 divisors, whose sum is σ = 105521654. Its totient is φ = 105521652.

The previous prime is 105521641. The next prime is 105521681. The reversal of 105521653 is 356125501.

It is an a-pointer prime, because the next prime (105521681) can be obtained adding 105521653 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., 93257649 + 12264004 = 9657^2 + 3502^2 .

It is an emirp because it is prime and its reverse (356125501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105521653 - 2⁵ = 105521621 is a prime.

It is a super-2 number, since 2×105521653² = 22269638503704818, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105521453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52760826 + 52760827.

It is an arithmetic number, because the mean of its divisors is an integer number (52760827).

Almost surely, 2^105521653 is an apocalyptic number.

It is an amenable number.

105521653 is a deficient number, since it is larger than the sum of its proper divisors (1).

105521653 is an equidigital number, since it uses as much as digits as its factorization.

105521653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 105521653 is about 10272.3732895568. The cubic root of 105521653 is about 472.5493773692.

The spelling of 105521653 in words is "one hundred five million, five hundred twenty-one thousand, six hundred fifty-three".