100166777808768 has 1792 divisors, whose sum is σ = 353547257241600. Its totient is φ = 27954185011200.

The previous prime is 100166777808761. The next prime is 100166777808787. The reversal of 100166777808768 is 867808777661001.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 100166777808696 and 100166777808705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100166777808761) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 67361652121 + ... + 67361653607.

Almost surely, 2^{100166777808768} is an apocalyptic number.

100166777808768 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 100166777808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176773628620800).

100166777808768 is an abundant number, since it is smaller than the sum of its proper divisors (253380479432832).

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

100166777808768 is a wasteful number, since it uses less digits than its factorization.

100166777808768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 265531392, while the sum is 72.

The spelling of 100166777808768 in words is "one hundred trillion, one hundred sixty-six billion, seven hundred seventy-seven million, eight hundred eight thousand, seven hundred sixty-eight".