105872625331200 has 4224 divisors, whose sum is σ = 497798538854400. Its totient is φ = 21456723640320.

The previous prime is 105872625331171. The next prime is 105872625331211. The reversal of 105872625331200 is 2133526278501.

105872625331200 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 7 + 2 + 625 + 3 + 3 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×105872625331200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 174419481297 + ... + 174419481903.

Almost surely, 2^{105872625331200} is an apocalyptic number.

105872625331200 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 105872625331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248899269427200).

105872625331200 is an abundant number, since it is smaller than the sum of its proper divisors (391925913523200).

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

105872625331200 is a wasteful number, since it uses less digits than its factorization.

105872625331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 105872625331200 in words is "one hundred five trillion, eight hundred seventy-two billion, six hundred twenty-five million, three hundred thirty-one thousand, two hundred".