105644851200 has 1152 divisors, whose sum is σ = 456375254400. Its totient is φ = 22837985280.

The previous prime is 105644851181. The next prime is 105644851229. The reversal of 105644851200 is 2158446501.

It is a happy number.

105644851200 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 448 + 5 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×105644851200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1187020756 + ... + 1187020844.

It is an arithmetic number, because the mean of its divisors is an integer number (396159075).

Almost surely, 2^105644851200 is an apocalyptic number.

105644851200 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 105644851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228187627200).

105644851200 is an abundant number, since it is smaller than the sum of its proper divisors (350730403200).

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

105644851200 is an equidigital number, since it uses as much as digits as its factorization.

105644851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 105644851200 in words is "one hundred five billion, six hundred forty-four million, eight hundred fifty-one thousand, two hundred".