10992606560100 has 1215 divisors, whose sum is σ = 41819387809969. Its totient is φ = 2495385446400.

The previous prime is 10992606560093. The next prime is 10992606560123. The reversal of 10992606560100 is 106560629901.

It is a happy number.

The square root of 10992606560100 is 3315510.

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

10992606560100 is a `hidden beast` number, since 10 + 9 + 9 + 2 + 60 + 6 + 560 + 10 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1312902756 + 10991293657344 = 36234^2 + 3315312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 55800033202 + ... + 55800033398.

Almost surely, 2^{10992606560100} is an apocalyptic number.

10992606560100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10992606560100 is the 3315510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10992606560100

10992606560100 is an abundant number, since it is smaller than the sum of its proper divisors (30826781249869).

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

10992606560100 is a wasteful number, since it uses less digits than its factorization.

10992606560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10992606560100 in words is "ten trillion, nine hundred ninety-two billion, six hundred six million, five hundred sixty thousand, one hundred".