248542101 has 24 divisors (see below), whose sum is σ = 373813440. Its totient is φ = 165022272.

The previous prime is 248542087. The next prime is 248542111. The reversal of 248542101 is 101245842.

It is not a de Polignac number, because 248542101 - 2¹⁰ = 248541077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248542111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61965 + ... + 65853.

It is an arithmetic number, because the mean of its divisors is an integer number (15575560).

Almost surely, 2^248542101 is an apocalyptic number.

It is an amenable number.

248542101 is a deficient number, since it is larger than the sum of its proper divisors (125271339).

248542101 is an equidigital number, since it uses as much as digits as its factorization.

248542101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 248542101 is about 15765.2180765126. The cubic root of 248542101 is about 628.7335784030.

Adding to 248542101 its reverse (101245842), we get a palindrome (349787943).

The spelling of 248542101 in words is "two hundred forty-eight million, five hundred forty-two thousand, one hundred one".