972105290117 has 16 divisors (see below), whose sum is σ = 1100735850480. Its totient is φ = 852182553600.

The previous prime is 972105290071. The next prime is 972105290141. The reversal of 972105290117 is 711092501279.

It is a Cunningham number, because it is equal to 985954²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 291679925476 + 680425364641 = 540074^2 + 824879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972105290117 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 (972105290147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21112484 + ... + 21158477.

It is an arithmetic number, because the mean of its divisors is an integer number (68795990655).

Almost surely, 2^972105290117 is an apocalyptic number.

It is an amenable number.

972105290117 is a deficient number, since it is larger than the sum of its proper divisors (128630560363).

972105290117 is a wasteful number, since it uses less digits than its factorization.

972105290117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42271064.

The product of its (nonzero) digits is 79380, while the sum is 44.

The spelling of 972105290117 in words is "nine hundred seventy-two billion, one hundred five million, two hundred ninety thousand, one hundred seventeen".