100944640678800 has 960 divisors, whose sum is σ = 355423251456000. Its totient is φ = 24400668672000.

The previous prime is 100944640678723. The next prime is 100944640678801. The reversal of 100944640678800 is 8876046449001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (100944640678801) 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 191 ways as a sum of consecutive naturals, for example, 26418380890 + ... + 26418384710.

It is an arithmetic number, because the mean of its divisors is an integer number (370232553600).

Almost surely, 2^{100944640678800} is an apocalyptic number.

100944640678800 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 100944640678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177711625728000).

100944640678800 is an abundant number, since it is smaller than the sum of its proper divisors (254478610777200).

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

100944640678800 is a wasteful number, since it uses less digits than its factorization.

100944640678800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 100944640678800 in words is "one hundred trillion, nine hundred forty-four billion, six hundred forty million, six hundred seventy-eight thousand, eight hundred".