105513521 has 2 divisors, whose sum is σ = 105513522. Its totient is φ = 105513520.

The previous prime is 105513511. The next prime is 105513523. The reversal of 105513521 is 125315501.

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., 90459121 + 15054400 = 9511^2 + 3880^2 .

It is a cyclic number.

It is not a de Polignac number, because 105513521 - 2¹⁴ = 105497137 is a prime.

It is a super-2 number, since 2×105513521² = 22266206227634882, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105513523, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105513523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52756760 + 52756761.

It is an arithmetic number, because the mean of its divisors is an integer number (52756761).

Almost surely, 2^105513521 is an apocalyptic number.

It is an amenable number.

105513521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105513521 is an equidigital number, since it uses as much as digits as its factorization.

105513521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 105513521 is about 10271.9774629815. The cubic root of 105513521 is about 472.5372380905.

The spelling of 105513521 in words is "one hundred five million, five hundred thirteen thousand, five hundred twenty-one".