105032821 has 2 divisors, whose sum is σ = 105032822. Its totient is φ = 105032820.

The previous prime is 105032801. The next prime is 105032833. The reversal of 105032821 is 128230501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92352100 + 12680721 = 9610^2 + 3561^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105032821 is a prime.

It is a super-2 number, since 2×105032821² = 22063786974436082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105032792 and 105032801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105032801) 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, 52516410 + 52516411.

It is an arithmetic number, because the mean of its divisors is an integer number (52516411).

Almost surely, 2^105032821 is an apocalyptic number.

It is an amenable number.

105032821 is a deficient number, since it is larger than the sum of its proper divisors (1).

105032821 is an equidigital number, since it uses as much as digits as its factorization.

105032821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105032821 is about 10248.5521416442. The cubic root of 105032821 is about 471.8185482868.

The spelling of 105032821 in words is "one hundred five million, thirty-two thousand, eight hundred twenty-one".