105186712680300 has 288 divisors, whose sum is σ = 310295739801600. Its totient is φ = 27506330691840.

The previous prime is 105186712680233. The next prime is 105186712680319. The reversal of 105186712680300 is 3086217681501.

It is a super-2 number, since 2×105186712680300² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105186712680300.

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, 2254154769 + ... + 2254201431.

It is an arithmetic number, because the mean of its divisors is an integer number (1077415763200).

Almost surely, 2^{105186712680300} is an apocalyptic number.

105186712680300 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 105186712680300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155147869900800).

105186712680300 is an abundant number, since it is smaller than the sum of its proper divisors (205109027121300).

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

105186712680300 is a wasteful number, since it uses less digits than its factorization.

105186712680300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47405 (or 47398 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 105186712680300 in words is "one hundred five trillion, one hundred eighty-six billion, seven hundred twelve million, six hundred eighty thousand, three hundred".