101643257 has 4 divisors (see below), whose sum is σ = 102170100. Its totient is φ = 101116416.

The previous prime is 101643193. The next prime is 101643287. The reversal of 101643257 is 752346101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 71842576 + 29800681 = 8476^2 + 5459^2 .

It is a cyclic number.

It is not a de Polignac number, because 101643257 - 2⁶ = 101643193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101643287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263132 + ... + 263517.

It is an arithmetic number, because the mean of its divisors is an integer number (25542525).

Almost surely, 2^101643257 is an apocalyptic number.

It is an amenable number.

101643257 is a deficient number, since it is larger than the sum of its proper divisors (526843).

101643257 is an equidigital number, since it uses as much as digits as its factorization.

101643257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526842.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 101643257 is about 10081.8280584426. The cubic root of 101643257 is about 466.6875239544.

Adding to 101643257 its reverse (752346101), we get a palindrome (853989358).

The spelling of 101643257 in words is "one hundred one million, six hundred forty-three thousand, two hundred fifty-seven".