105010901 has 2 divisors, whose sum is σ = 105010902. Its totient is φ = 105010900.

The previous prime is 105010877. The next prime is 105010933. The reversal of 105010901 is 109010501.

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., 103510276 + 1500625 = 10174^2 + 1225^2 .

It is a cyclic number.

It is not a de Polignac number, because 105010901 - 2⁶ = 105010837 is a prime.

It is a super-2 number, since 2×105010901² = 22054578657663602, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105010901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105090901) 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, 52505450 + 52505451.

It is an arithmetic number, because the mean of its divisors is an integer number (52505451).

Almost surely, 2^105010901 is an apocalyptic number.

It is an amenable number.

105010901 is a deficient number, since it is larger than the sum of its proper divisors (1).

105010901 is an equidigital number, since it uses as much as digits as its factorization.

105010901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 105010901 is about 10247.4826664894. The cubic root of 105010901 is about 471.7857236832.

The spelling of 105010901 in words is "one hundred five million, ten thousand, nine hundred one".