100868166000 has 1200 divisors, whose sum is σ = 431465946912. Its totient is φ = 22643712000.

The previous prime is 100868165969. The next prime is 100868166019. The reversal of 100868166000 is 661868001.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 769985935 + ... + 769986065.

Almost surely, 2^100868166000 is an apocalyptic number.

100868166000 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 100868166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215732973456).

100868166000 is an abundant number, since it is smaller than the sum of its proper divisors (330597780912).

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

100868166000 is a wasteful number, since it uses less digits than its factorization.

100868166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 100868166000 in words is "one hundred billion, eight hundred sixty-eight million, one hundred sixty-six thousand".