105165521 has 2 divisors, whose sum is σ = 105165522. Its totient is φ = 105165520.

The previous prime is 105165493. The next prime is 105165527. The reversal of 105165521 is 125561501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100801600 + 4363921 = 10040^2 + 2089^2 .

It is a cyclic number.

It is not a de Polignac number, because 105165521 - 2⁶ = 105165457 is a prime.

It is a super-2 number, since 2×105165521² = 22119573614402882, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105165527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52582760 + 52582761.

It is an arithmetic number, because the mean of its divisors is an integer number (52582761).

Almost surely, 2^105165521 is an apocalyptic number.

It is an amenable number.

105165521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105165521 is an equidigital number, since it uses as much as digits as its factorization.

105165521 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.

The square root of 105165521 is about 10255.0241832967. The cubic root of 105165521 is about 472.0171654798.

The spelling of 105165521 in words is "one hundred five million, one hundred sixty-five thousand, five hundred twenty-one".