101584057 has 2 divisors, whose sum is σ = 101584058. Its totient is φ = 101584056.

The previous prime is 101584037. The next prime is 101584097. The reversal of 101584057 is 750485101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79905721 + 21678336 = 8939^2 + 4656^2 .

It is a cyclic number.

It is not a de Polignac number, because 101584057 - 2²³ = 93195449 is a prime.

It is not a weakly prime, because it can be changed into another prime (101584037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50792028 + 50792029.

It is an arithmetic number, because the mean of its divisors is an integer number (50792029).

Almost surely, 2^101584057 is an apocalyptic number.

It is an amenable number.

101584057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101584057 is an equidigital number, since it uses as much as digits as its factorization.

101584057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 101584057 is about 10078.8916553359. The cubic root of 101584057 is about 466.5969022128.

The spelling of 101584057 in words is "one hundred one million, five hundred eighty-four thousand, fifty-seven".