105913021 has 2 divisors, whose sum is σ = 105913022. Its totient is φ = 105913020.

The previous prime is 105913013. The next prime is 105913037. The reversal of 105913021 is 120319501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89510521 + 16402500 = 9461^2 + 4050^2 .

It is an emirp because it is prime and its reverse (120319501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105913021 - 2³ = 105913013 is a prime.

It is a super-2 number, since 2×105913021² = 22435136034692882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105912983 and 105913001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105913001) 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, 52956510 + 52956511.

It is an arithmetic number, because the mean of its divisors is an integer number (52956511).

Almost surely, 2^105913021 is an apocalyptic number.

It is an amenable number.

105913021 is a deficient number, since it is larger than the sum of its proper divisors (1).

105913021 is an equidigital number, since it uses as much as digits as its factorization.

105913021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 105913021 is about 10291.4052004573. The cubic root of 105913021 is about 473.1328675123.

The spelling of 105913021 in words is "one hundred five million, nine hundred thirteen thousand, twenty-one".