100966969009 has 9 divisors (see below), whose sum is σ = 104578188897. Its totient is φ = 97476452304.

The previous prime is 100966968989. The next prime is 100966969013. The reversal of 100966969009 is 900969669001.

The square root of 100966969009 is 317753.

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 2200079025 + 98766889984 = 46905^2 + 314272^2 .

It is not a de Polignac number, because 100966969009 - 2¹⁹ = 100966444721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100966969049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9209359 + ... + 9220315.

Almost surely, 2^100966969009 is an apocalyptic number.

100966969009 is the 317753-rd square number.

100966969009 is the 158877-th centered octagonal number.

It is an amenable number.

100966969009 is a deficient number, since it is larger than the sum of its proper divisors (3611219888).

100966969009 is an frugal number, since it uses more digits than its factorization.

100966969009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21972 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 55.

The spelling of 100966969009 in words is "one hundred billion, nine hundred sixty-six million, nine hundred sixty-nine thousand, nine".