105444093081600 has 4608 divisors, whose sum is σ = 495163007539200. Its totient is φ = 21403533312000.

The previous prime is 105444093081581. The next prime is 105444093081671. The reversal of 105444093081600 is 6180390444501.

105444093081600 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 4 + 0 + 9 + 30 + 8 + 1 + 600 = 666.

105444093081600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×105444093081600² (a number of 29 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 546342451104 + ... + 546342451296.

It is an arithmetic number, because the mean of its divisors is an integer number (107457249900).

Almost surely, 2^{105444093081600} is an apocalyptic number.

105444093081600 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 105444093081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247581503769600).

105444093081600 is an abundant number, since it is smaller than the sum of its proper divisors (389718914457600).

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

105444093081600 is a wasteful number, since it uses less digits than its factorization.

105444093081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 105444093081600 in words is "one hundred five trillion, four hundred forty-four billion, ninety-three million, eighty-one thousand, six hundred".