100941868800 has 324 divisors, whose sum is σ = 369700806384. Its totient is φ = 26260684800.

The previous prime is 100941868799. The next prime is 100941868837. The reversal of 100941868800 is 8868149001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2340229 + ... + 2382971.

Almost surely, 2^100941868800 is an apocalyptic number.

100941868800 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 100941868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184850403192).

100941868800 is an abundant number, since it is smaller than the sum of its proper divisors (268758937584).

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

100941868800 is a wasteful number, since it uses less digits than its factorization.

100941868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42816 (or 42794 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 100941868800 in words is "one hundred billion, nine hundred forty-one million, eight hundred sixty-eight thousand, eight hundred".