105855123211200 has 1008 divisors, whose sum is σ = 435999543243264. Its totient is φ = 24073467494400.

The previous prime is 105855123211157. The next prime is 105855123211213. The reversal of 105855123211200 is 2112321558501.

105855123211200 is a `hidden beast` number, since 1 + 0 + 5 + 85 + 51 + 2 + 321 + 1 + 200 = 666.

It is a super-2 number, since 2×105855123211200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 826625577 + ... + 826753623.

It is an arithmetic number, because the mean of its divisors is an integer number (432539229408).

Almost surely, 2^{105855123211200} is an apocalyptic number.

105855123211200 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 105855123211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217999771621632).

105855123211200 is an abundant number, since it is smaller than the sum of its proper divisors (330144420032064).

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

105855123211200 is a wasteful number, since it uses less digits than its factorization.

105855123211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128410 (or 128392 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 105855123211200 its reverse (2112321558501), we get a palindrome (107967444769701).

The spelling of 105855123211200 in words is "one hundred five trillion, eight hundred fifty-five billion, one hundred twenty-three million, two hundred eleven thousand, two hundred".