1024105021 has 2 divisors, whose sum is σ = 1024105022. Its totient is φ = 1024105020.

The previous prime is 1024105009. The next prime is 1024105079. The reversal of 1024105021 is 1205014201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 875508921 + 148596100 = 29589^2 + 12190^2 .

It is a cyclic number.

It is not a de Polignac number, because 1024105021 - 2²¹ = 1022007869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1024104986 and 1024105004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1024105081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512052510 + 512052511.

It is an arithmetic number, because the mean of its divisors is an integer number (512052511).

Almost surely, 2^1024105021 is an apocalyptic number.

It is an amenable number.

1024105021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1024105021 is an equidigital number, since it uses as much as digits as its factorization.

1024105021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1024105021 is about 32001.6409110533. The cubic root of 1024105021 is about 1007.9712965944.

Adding to 1024105021 its reverse (1205014201), we get a palindrome (2229119222).

The spelling of 1024105021 in words is "one billion, twenty-four million, one hundred five thousand, twenty-one".