100944027360 has 864 divisors, whose sum is σ = 402594192000. Its totient is φ = 23854279680.

The previous prime is 100944027343. The next prime is 100944027367. The reversal of 100944027360 is 63720449001.

100944027360 is a `hidden beast` number, since 100 + 94 + 402 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100944027367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202292391 + ... + 202292889.

It is an arithmetic number, because the mean of its divisors is an integer number (465965500).

Almost surely, 2^100944027360 is an apocalyptic number.

100944027360 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 100944027360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201297096000).

100944027360 is an abundant number, since it is smaller than the sum of its proper divisors (301650164640).

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

100944027360 is a wasteful number, since it uses less digits than its factorization.

100944027360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 100944027360 in words is "one hundred billion, nine hundred forty-four million, twenty-seven thousand, three hundred sixty".