100606110000966 has 32 divisors (see below), whose sum is σ = 223689267429600. Its totient is φ = 33517349886240.

The previous prime is 100606110000947. The next prime is 100606110001049. The reversal of 100606110000966 is 669000011606001.

100606110000966 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100606110000966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500457301 + ... + 500658288.

It is an arithmetic number, because the mean of its divisors is an integer number (6990289607175).

Almost surely, 2^{100606110000966} is an apocalyptic number.

100606110000966 is an abundant number, since it is smaller than the sum of its proper divisors (123083157428634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100606110000966 is a wasteful number, since it uses less digits than its factorization.

100606110000966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001117461 (or 1001117455 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 100606110000966 its reverse (669000011606001), we get a palindrome (769606121606967).

The spelling of 100606110000966 in words is "one hundred trillion, six hundred six billion, one hundred ten million, nine hundred sixty-six", and thus it is an aban number.