105045821 has 2 divisors, whose sum is σ = 105045822. Its totient is φ = 105045820.

The previous prime is 105045797. The next prime is 105045823. The reversal of 105045821 is 128540501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82101721 + 22944100 = 9061^2 + 4790^2 .

It is an emirp because it is prime and its reverse (128540501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105045821 - 2¹⁴ = 105029437 is a prime.

It is a super-2 number, since 2×105045821² = 22069249019128082, which contains 22 as substring.

Together with 105045823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105045823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52522910 + 52522911.

It is an arithmetic number, because the mean of its divisors is an integer number (52522911).

Almost surely, 2^105045821 is an apocalyptic number.

It is an amenable number.

105045821 is a deficient number, since it is larger than the sum of its proper divisors (1).

105045821 is an equidigital number, since it uses as much as digits as its factorization.

105045821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 105045821 is about 10249.1863579506. The cubic root of 105045821 is about 471.8380132757.

The spelling of 105045821 in words is "one hundred five million, forty-five thousand, eight hundred twenty-one".