117071752102105 has 16 divisors (see below), whose sum is σ = 152770260934800. Its totient is φ = 85765760520192.

The previous prime is 117071752102103. The next prime is 117071752102117. The reversal of 117071752102105 is 501201257170711.

It can be written as a sum of positive squares in 8 ways, for example, as 1930332324496 + 115141419777609 = 1389364^2 + 10730397^2 .

It is a cyclic number.

It is not a de Polignac number, because 117071752102105 - 2¹ = 117071752102103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117071752102103) 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, 18612358080 + ... + 18612364369.

It is an arithmetic number, because the mean of its divisors is an integer number (9548141308425).

Almost surely, 2^{117071752102105} is an apocalyptic number.

It is an amenable number.

117071752102105 is a deficient number, since it is larger than the sum of its proper divisors (35698508832695).

117071752102105 is a wasteful number, since it uses less digits than its factorization.

117071752102105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37224722508.

The product of its (nonzero) digits is 34300, while the sum is 40.

The spelling of 117071752102105 in words is "one hundred seventeen trillion, seventy-one billion, seven hundred fifty-two million, one hundred two thousand, one hundred five".