105213786006 has 64 divisors (see below), whose sum is σ = 248368826880. Its totient is φ = 29085143040.

The previous prime is 105213785987. The next prime is 105213786011. The reversal of 105213786006 is 600687312501.

It is a super-2 number, since 2×105213786006² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89046 + ... + 467286.

It is an arithmetic number, because the mean of its divisors is an integer number (3880762920).

Almost surely, 2^105213786006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105213786006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124184413440).

105213786006 is an abundant number, since it is smaller than the sum of its proper divisors (143155040874).

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

105213786006 is a wasteful number, since it uses less digits than its factorization.

105213786006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378469.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 105213786006 in words is "one hundred five billion, two hundred thirteen million, seven hundred eighty-six thousand, six".