105641971200 has 480 divisors, whose sum is σ = 410589479520. Its totient is φ = 26512588800.

The previous prime is 105641971189. The next prime is 105641971261. The reversal of 105641971200 is 2179146501.

105641971200 is a `hidden beast` number, since 1 + 0 + 5 + 641 + 9 + 7 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105641971200² (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 47 ways as a sum of consecutive naturals, for example, 5866210 + ... + 5884190.

It is an arithmetic number, because the mean of its divisors is an integer number (855394749).

Almost surely, 2^105641971200 is an apocalyptic number.

105641971200 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 105641971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205294739760).

105641971200 is an abundant number, since it is smaller than the sum of its proper divisors (304947508320).

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

105641971200 is a wasteful number, since it uses less digits than its factorization.

105641971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18035 (or 18008 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 105641971200 in words is "one hundred five billion, six hundred forty-one million, nine hundred seventy-one thousand, two hundred".