101190905317 has 8 divisors (see below), whose sum is σ = 105666019200. Its totient is φ = 96722083920.

The previous prime is 101190905311. The next prime is 101190905351. The reversal of 101190905317 is 713509091101.

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

It is a cyclic number.

It is not a de Polignac number, because 101190905317 - 2¹⁹ = 101190381029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101190905311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1540234 + ... + 1604587.

It is an arithmetic number, because the mean of its divisors is an integer number (13208252400).

Almost surely, 2^101190905317 is an apocalyptic number.

It is an amenable number.

101190905317 is a deficient number, since it is larger than the sum of its proper divisors (4475113883).

101190905317 is a wasteful number, since it uses less digits than its factorization.

101190905317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146243.

The product of its (nonzero) digits is 8505, while the sum is 37.

Adding to 101190905317 its reverse (713509091101), we get a palindrome (814699996418).

The spelling of 101190905317 in words is "one hundred one billion, one hundred ninety million, nine hundred five thousand, three hundred seventeen".