1066430087100 has 864 divisors, whose sum is σ = 3985949327360. Its totient is φ = 233461025280.

The previous prime is 1066430087077. The next prime is 1066430087101. The reversal of 1066430087100 is 17800346601.

1066430087100 is a `hidden beast` number, since 1 + 0 + 6 + 643 + 0 + 0 + 8 + 7 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×1066430087100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066430087101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4782197589 + ... + 4782197811.

Almost surely, 2^{1066430087100} is an apocalyptic number.

1066430087100 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 1066430087100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992974663680).

1066430087100 is an abundant number, since it is smaller than the sum of its proper divisors (2919519240260).

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

1066430087100 is a wasteful number, since it uses less digits than its factorization.

1066430087100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1066430087100 in words is "one trillion, sixty-six billion, four hundred thirty million, eighty-seven thousand, one hundred".