105866462520 has 768 divisors, whose sum is σ = 448072934400. Its totient is φ = 21051187200.

The previous prime is 105866462489. The next prime is 105866462521. The reversal of 105866462520 is 25264668501.

105866462520 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 6 + 64 + 62 + 520 = 666.

It is a super-2 number, since 2×105866462520² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105866462521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176150220 + ... + 176150820.

It is an arithmetic number, because the mean of its divisors is an integer number (583428300).

Almost surely, 2^105866462520 is an apocalyptic number.

105866462520 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 105866462520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224036467200).

105866462520 is an abundant number, since it is smaller than the sum of its proper divisors (342206471880).

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

105866462520 is a wasteful number, since it uses less digits than its factorization.

105866462520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 105866462520 in words is "one hundred five billion, eight hundred sixty-six million, four hundred sixty-two thousand, five hundred twenty".