971368101 has 24 divisors (see below), whose sum is σ = 1540936800. Its totient is φ = 584748000.

The previous prime is 971368091. The next prime is 971368159. The reversal of 971368101 is 101863179.

It is not a de Polignac number, because 971368101 - 2¹⁹ = 970843813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971368171) 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, 18175 + ... + 47676.

It is an arithmetic number, because the mean of its divisors is an integer number (64205700).

Almost surely, 2^971368101 is an apocalyptic number.

It is an amenable number.

971368101 is a deficient number, since it is larger than the sum of its proper divisors (569568699).

971368101 is a wasteful number, since it uses less digits than its factorization.

971368101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66017 (or 66014 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 971368101 is about 31166.7788037198. The cubic root of 971368101 is about 990.3634692329.

The spelling of 971368101 in words is "nine hundred seventy-one million, three hundred sixty-eight thousand, one hundred one".