101058049 has 2 divisors, whose sum is σ = 101058050. Its totient is φ = 101058048.

The previous prime is 101057993. The next prime is 101058053. The reversal of 101058049 is 940850101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98903025 + 2155024 = 9945^2 + 1468^2 .

It is a cyclic number.

It is not a de Polignac number, because 101058049 - 2¹³ = 101049857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101058079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50529024 + 50529025.

It is an arithmetic number, because the mean of its divisors is an integer number (50529025).

Almost surely, 2^101058049 is an apocalyptic number.

It is an amenable number.

101058049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101058049 is an equidigital number, since it uses as much as digits as its factorization.

101058049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 101058049 is about 10052.7632519621. The cubic root of 101058049 is about 465.7901530809.

The spelling of 101058049 in words is "one hundred one million, fifty-eight thousand, forty-nine".