105144857395200 has 2112 divisors, whose sum is σ = 450359425866240. Its totient is φ = 23849651404800.

The previous prime is 105144857395159. The next prime is 105144857395247. The reversal of 105144857395200 is 2593758441501.

105144857395200 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 4 + 85 + 7 + 39 + 520 + 0 = 666.

It is a super-2 number, since 2×105144857395200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802632499135 + ... + 802632499265.

It is an arithmetic number, because the mean of its divisors is an integer number (213238364520).

Almost surely, 2^{105144857395200} is an apocalyptic number.

105144857395200 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 105144857395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225179712933120).

105144857395200 is an abundant number, since it is smaller than the sum of its proper divisors (345214568471040).

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

105144857395200 is an frugal number, since it uses more digits than its factorization.

105144857395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 105144857395200 in words is "one hundred five trillion, one hundred forty-four billion, eight hundred fifty-seven million, three hundred ninety-five thousand, two hundred".