100966412824200 has 576 divisors, whose sum is σ = 426076477931520. Its totient is φ = 20814833088000.

The previous prime is 100966412824183. The next prime is 100966412824241. The reversal of 100966412824200 is 2428214669001.

It is a happy number.

100966412824200 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 6 + 6 + 412 + 8 + 24 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14734195 + ... + 20470205.

It is an arithmetic number, because the mean of its divisors is an integer number (739716107520).

Almost surely, 2^{100966412824200} is an apocalyptic number.

100966412824200 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 100966412824200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213038238965760).

100966412824200 is an abundant number, since it is smaller than the sum of its proper divisors (325110065107320).

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

100966412824200 is a wasteful number, since it uses less digits than its factorization.

100966412824200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736178 (or 5736166 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 100966412824200 in words is "one hundred trillion, nine hundred sixty-six billion, four hundred twelve million, eight hundred twenty-four thousand, two hundred".