100577441 has 2 divisors, whose sum is σ = 100577442. Its totient is φ = 100577440.

The previous prime is 100577401. The next prime is 100577453. The reversal of 100577441 is 144775001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68541841 + 32035600 = 8279^2 + 5660^2 .

It is a cyclic number.

It is not a de Polignac number, because 100577441 - 2¹⁸ = 100315297 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100577401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50288720 + 50288721.

It is an arithmetic number, because the mean of its divisors is an integer number (50288721).

Almost surely, 2^100577441 is an apocalyptic number.

It is an amenable number.

100577441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100577441 is an equidigital number, since it uses as much as digits as its factorization.

100577441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 100577441 is about 10028.8304901419. The cubic root of 100577441 is about 465.0505837753.

The spelling of 100577441 in words is "one hundred million, five hundred seventy-seven thousand, four hundred forty-one".