10971934009 has 27 divisors (see below), whose sum is σ = 11981633517. Its totient is φ = 10045656288.

The previous prime is 10971933991. The next prime is 10971934013. The reversal of 10971934009 is 90043917901.

It is a happy number.

The square root of 10971934009 is 104747.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3980025 + 10967953984 = 1995^2 + 104728^2 .

It is not a de Polignac number, because 10971934009 - 2¹¹ = 10971931961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10971934069) 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, 73637067 + ... + 73637215.

Almost surely, 2^10971934009 is an apocalyptic number.

10971934009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10971934009 is the 104747-th square number.

10971934009 is the 52374-th centered octagonal number.

It is an amenable number.

10971934009 is a deficient number, since it is larger than the sum of its proper divisors (1009699508).

10971934009 is an frugal number, since it uses more digits than its factorization.

10971934009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 10971934009 in words is "ten billion, nine hundred seventy-one million, nine hundred thirty-four thousand, nine".