101344073 has 8 divisors (see below), whose sum is σ = 104234760. Its totient is φ = 98461440.

The previous prime is 101344063. The next prime is 101344091. The reversal of 101344073 is 370443101.

It can be written as a sum of positive squares in 4 ways, for example, as 7118224 + 94225849 = 2668^2 + 9707^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101344073 - 2⁴ = 101344057 is a prime.

It is a super-3 number, since 3×101344073³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101344013) 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 in 7 ways as a sum of consecutive naturals, for example, 31043 + ... + 34151.

It is an arithmetic number, because the mean of its divisors is an integer number (13029345).

Almost surely, 2^101344073 is an apocalyptic number.

It is an amenable number.

101344073 is a deficient number, since it is larger than the sum of its proper divisors (2890687).

101344073 is an equidigital number, since it uses as much as digits as its factorization.

101344073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 101344073 is about 10066.9793384113. The cubic root of 101344073 is about 466.2291801900.

Adding to 101344073 its reverse (370443101), we get a palindrome (471787174).

The spelling of 101344073 in words is "one hundred one million, three hundred forty-four thousand, seventy-three".