100167411801600 has 4320 divisors, whose sum is σ = 448795901473920. Its totient is φ = 21971666534400.

The previous prime is 100167411801493. The next prime is 100167411801767. The reversal of 100167411801600 is 6108114761001.

100167411801600 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 7 + 41 + 1 + 8 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 288666892627 + ... + 288666892973.

It is an arithmetic number, because the mean of its divisors is an integer number (103887940156).

Almost surely, 2^{100167411801600} is an apocalyptic number.

100167411801600 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 100167411801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224397950736960).

100167411801600 is an abundant number, since it is smaller than the sum of its proper divisors (348628489672320).

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

100167411801600 is a wasteful number, since it uses less digits than its factorization.

100167411801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 100167411801600 in words is "one hundred trillion, one hundred sixty-seven billion, four hundred eleven million, eight hundred one thousand, six hundred".