101848993 has 2 divisors, whose sum is σ = 101848994. Its totient is φ = 101848992.

The previous prime is 101848969. The next prime is 101849017. The reversal of 101848993 is 399848101.

It is a balanced prime because it is at equal distance from previous prime (101848969) and next prime (101849017).

It can be written as a sum of positive squares in only one way, i.e., 101848464 + 529 = 10092^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 101848993 - 2¹³ = 101840801 is a prime.

It is a super-2 number, since 2×101848993² = 20746434750228098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101848093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50924496 + 50924497.

It is an arithmetic number, because the mean of its divisors is an integer number (50924497).

Almost surely, 2^101848993 is an apocalyptic number.

It is an amenable number.

101848993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101848993 is an equidigital number, since it uses as much as digits as its factorization.

101848993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 101848993 is about 10092.0262088443. The cubic root of 101848993 is about 467.0021856418.

The spelling of 101848993 in words is "one hundred one million, eight hundred forty-eight thousand, nine hundred ninety-three".