100266977427408 has 480 divisors, whose sum is σ = 316336248184320. Its totient is φ = 29385988669440.

The previous prime is 100266977427403. The next prime is 100266977427437. The reversal of 100266977427408 is 804724779662001.

100266977427408 is a `hidden beast` number, since 10 + 0 + 2 + 66 + 97 + 74 + 2 + 7 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100266977427401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4888915458 + ... + 4888935966.

It is an arithmetic number, because the mean of its divisors is an integer number (659033850384).

Almost surely, 2^{100266977427408} is an apocalyptic number.

100266977427408 is a gapful number since it is divisible by the number (18) 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 100266977427408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158168124092160).

100266977427408 is an abundant number, since it is smaller than the sum of its proper divisors (216069270756912).

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

100266977427408 is a wasteful number, since it uses less digits than its factorization.

100266977427408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21355 (or 21346 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 100266977427408 in words is "one hundred trillion, two hundred sixty-six billion, nine hundred seventy-seven million, four hundred twenty-seven thousand, four hundred eight".