105007187712 has 144 divisors (see below), whose sum is σ = 319829029632. Its totient is φ = 29961461760.

The previous prime is 105007187699. The next prime is 105007187731. The reversal of 105007187712 is 217781700501.

It is a super-2 number, since 2×105007187712² (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 15 ways as a sum of consecutive naturals, for example, 4078303 + ... + 4103969.

It is an arithmetic number, because the mean of its divisors is an integer number (2221034928).

Almost surely, 2^105007187712 is an apocalyptic number.

105007187712 is a gapful number since it is divisible by the number (12) 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 105007187712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159914514816).

105007187712 is an abundant number, since it is smaller than the sum of its proper divisors (214821841920).

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

105007187712 is an equidigital number, since it uses as much as digits as its factorization.

105007187712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26454 (or 26440 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 39.

The spelling of 105007187712 in words is "one hundred five billion, seven million, one hundred eighty-seven thousand, seven hundred twelve".