10466107200 has 378 divisors, whose sum is σ = 38666528966. Its totient is φ = 2788162560.

The previous prime is 10466107189. The next prime is 10466107207. The reversal of 10466107200 is 270166401.

10466107200 is a `hidden beast` number, since 1 + 0 + 46 + 610 + 7 + 2 + 0 + 0 = 666.

10466107200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1999162944 + 8466944256 = 44712^2 + 92016^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10466107207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10497102 + ... + 10498098.

Almost surely, 2^10466107200 is an apocalyptic number.

10466107200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19333264483).

10466107200 is an abundant number, since it is smaller than the sum of its proper divisors (28200421766).

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

10466107200 is an frugal number, since it uses more digits than its factorization.

10466107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10466107200 in words is "ten billion, four hundred sixty-six million, one hundred seven thousand, two hundred".