105810006000 has 640 divisors, whose sum is σ = 377495838720. Its totient is φ = 25380864000.

The previous prime is 105810005993. The next prime is 105810006019. The reversal of 105810006000 is 600018501.

It is a super-2 number, since 2×105810006000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 344657847 + ... + 344658153.

It is an arithmetic number, because the mean of its divisors is an integer number (589837248).

Almost surely, 2^105810006000 is an apocalyptic number.

105810006000 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 105810006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188747919360).

105810006000 is an abundant number, since it is smaller than the sum of its proper divisors (271685832720).

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

105810006000 is a wasteful number, since it uses less digits than its factorization.

105810006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 105810006000 in words is "one hundred five billion, eight hundred ten million, six thousand".