105125521 has 2 divisors, whose sum is σ = 105125522. Its totient is φ = 105125520.

The previous prime is 105125519. The next prime is 105125533. The reversal of 105125521 is 125521501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102738496 + 2387025 = 10136^2 + 1545^2 .

It is a cyclic number.

It is not a de Polignac number, because 105125521 - 2¹ = 105125519 is a prime.

It is a super-2 number, since 2×105125521² = 22102750331042882, which contains 22 as substring.

Together with 105125519, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105125492 and 105125501.

It is not a weakly prime, because it can be changed into another prime (105125591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52562760 + 52562761.

It is an arithmetic number, because the mean of its divisors is an integer number (52562761).

Almost surely, 2^105125521 is an apocalyptic number.

It is an amenable number.

105125521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105125521 is an equidigital number, since it uses as much as digits as its factorization.

105125521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 105125521 is about 10253.0737342516. The cubic root of 105125521 is about 471.9573135413.

The spelling of 105125521 in words is "one hundred five million, one hundred twenty-five thousand, five hundred twenty-one".