105535121 has 2 divisors, whose sum is σ = 105535122. Its totient is φ = 105535120.

The previous prime is 105535103. The next prime is 105535123. The reversal of 105535121 is 121535501.

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., 87684496 + 17850625 = 9364^2 + 4225^2 .

It is a cyclic number.

It is not a de Polignac number, because 105535121 - 2⁶ = 105535057 is a prime.

It is a super-2 number, since 2×105535121² = 22275323528969282, which contains 22 as substring.

Together with 105535123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105535123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52767560 + 52767561.

It is an arithmetic number, because the mean of its divisors is an integer number (52767561).

Almost surely, 2^105535121 is an apocalyptic number.

It is an amenable number.

105535121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535121 is an equidigital number, since it uses as much as digits as its factorization.

105535121 is an evil number, because the sum of its binary digits is even.

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

The square root of 105535121 is about 10273.0288133539. The cubic root of 105535121 is about 472.5694807448.

The spelling of 105535121 in words is "one hundred five million, five hundred thirty-five thousand, one hundred twenty-one".