103116127689 has 27 divisors (see below), whose sum is σ = 154300479879. Its totient is φ = 66355616880.

The previous prime is 103116127679. The next prime is 103116127693. The reversal of 103116127689 is 986721611301.

The square root of 103116127689 is 321117.

It is a perfect power (a square), and thus also a powerful number.

103116127689 is a `hidden beast` number, since 1 + 0 + 311 + 61 + 276 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54071596089 + 49044531600 = 232533^2 + 221460^2 .

It is not a de Polignac number, because 103116127689 - 2⁵ = 103116127657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103116127679) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27935334 + ... + 27939024.

Almost surely, 2^103116127689 is an apocalyptic number.

103116127689 is the 321117-th square number.

103116127689 is the 160559-th centered octagonal number.

It is an amenable number.

103116127689 is a deficient number, since it is larger than the sum of its proper divisors (51184352190).

103116127689 is an frugal number, since it uses more digits than its factorization.

103116127689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 103116127689 in words is "one hundred three billion, one hundred sixteen million, one hundred twenty-seven thousand, six hundred eighty-nine".