100866420967104 has 462 divisors, whose sum is σ = 325106984987676. Its totient is φ = 31035625320960.

The previous prime is 100866420967097. The next prime is 100866420967141. The reversal of 100866420967104 is 401769024668001.

100866420967104 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 66 + 420 + 96 + 71 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 638595019 + ... + 638752949.

Almost surely, 2^{100866420967104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100866420967104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162553492493838).

100866420967104 is an abundant number, since it is smaller than the sum of its proper divisors (224240564020572).

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

100866420967104 is an frugal number, since it uses more digits than its factorization.

100866420967104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157999 (or 157949 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 100866420967104 in words is "one hundred trillion, eight hundred sixty-six billion, four hundred twenty million, nine hundred sixty-seven thousand, one hundred four".