105412000605 has 32 divisors (see below), whose sum is σ = 172836478080. Its totient is φ = 54828318720.

The previous prime is 105412000601. The next prime is 105412000633. The reversal of 105412000605 is 506000214501.

It is not a de Polignac number, because 105412000605 - 2² = 105412000601 is a prime.

It is a super-3 number, since 3×105412000605³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105412000601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1718301 + ... + 1778589.

It is an arithmetic number, because the mean of its divisors is an integer number (5401139940).

Almost surely, 2^105412000605 is an apocalyptic number.

105412000605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105412000605 is a deficient number, since it is larger than the sum of its proper divisors (67424477475).

105412000605 is a wasteful number, since it uses less digits than its factorization.

105412000605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63181.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 105412000605 in words is "one hundred five billion, four hundred twelve million, six hundred five", and thus it is an aban number.