972105290116 has 27 divisors (see below), whose sum is σ = 1706102064471. Its totient is φ = 484651604424.

The previous prime is 972105290071. The next prime is 972105290141. The reversal of 972105290116 is 611092501279.

The square root of 972105290116 is 985954.

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

972105290116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1181172481 + ... + 1181173303.

Almost surely, 2^972105290116 is an apocalyptic number.

972105290116 is the 985954-th square number.

It is an amenable number.

972105290116 is a deficient number, since it is larger than the sum of its proper divisors (733996774355).

972105290116 is an frugal number, since it uses more digits than its factorization.

972105290116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 972105290116 in words is "nine hundred seventy-two billion, one hundred five million, two hundred ninety thousand, one hundred sixteen".