16105031712 has 960 divisors, whose sum is σ = 64633282560. Its totient is φ = 3807129600.

The previous prime is 16105031711. The next prime is 16105031749. The reversal of 16105031712 is 21713050161.

16105031712 is a `hidden beast` number, since 1 + 610 + 5 + 0 + 31 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16105031711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117554908 + ... + 117555044.

It is an arithmetic number, because the mean of its divisors is an integer number (67326336).

Almost surely, 2^16105031712 is an apocalyptic number.

16105031712 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 16105031712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32316641280).

16105031712 is an abundant number, since it is smaller than the sum of its proper divisors (48528250848).

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

16105031712 is a wasteful number, since it uses less digits than its factorization.

16105031712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 16105031712 its reverse (21713050161), we get a palindrome (37818081873).

The spelling of 16105031712 in words is "sixteen billion, one hundred five million, thirty-one thousand, seven hundred twelve".