100881041817600 has 2304 divisors, whose sum is σ = 415301481504000. Its totient is φ = 23180555059200.

The previous prime is 100881041817499. The next prime is 100881041817601. The reversal of 100881041817600 is 6718140188001.

100881041817600 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 8 + 10 + 4 + 18 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100881041817601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138763468437 + ... + 138763469163.

It is an arithmetic number, because the mean of its divisors is an integer number (180252379125).

Almost surely, 2^{100881041817600} is an apocalyptic number.

100881041817600 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 100881041817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207650740752000).

100881041817600 is an abundant number, since it is smaller than the sum of its proper divisors (314420439686400).

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

100881041817600 is a wasteful number, since it uses less digits than its factorization.

100881041817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 100881041817600 in words is "one hundred trillion, eight hundred eighty-one billion, forty-one million, eight hundred seventeen thousand, six hundred".