105152441191200 has 432 divisors, whose sum is σ = 399792637258560. Its totient is φ = 25852807895040.

The previous prime is 105152441191151. The next prime is 105152441191219. The reversal of 105152441191200 is 2191144251501.

It is a happy number.

105152441191200 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 5 + 2 + 441 + 1 + 9 + 1 + 200 = 666.

It is a super-2 number, since 2×105152441191200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77860899 + ... + 79199901.

It is an arithmetic number, because the mean of its divisors is an integer number (925445919580).

Almost surely, 2^{105152441191200} is an apocalyptic number.

105152441191200 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 105152441191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199896318629280).

105152441191200 is an abundant number, since it is smaller than the sum of its proper divisors (294640196067360).

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

105152441191200 is a wasteful number, since it uses less digits than its factorization.

105152441191200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339881 (or 1339865 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 105152441191200 in words is "one hundred five trillion, one hundred fifty-two billion, four hundred forty-one million, one hundred ninety-one thousand, two hundred".