115006105016 has 64 divisors (see below), whose sum is σ = 238922472960. Its totient is φ = 51459408000.

The previous prime is 115006105013. The next prime is 115006105061. The reversal of 115006105016 is 610501600511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115006105013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116005 + ... + 4143851.

It is an arithmetic number, because the mean of its divisors is an integer number (3733163640).

Almost surely, 2^115006105016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115006105016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119461236480).

115006105016 is an abundant number, since it is smaller than the sum of its proper divisors (123916367944).

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

115006105016 is a wasteful number, since it uses less digits than its factorization.

115006105016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28596 (or 28592 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 115006105016 its reverse (610501600511), we get a palindrome (725507705527).

It can be divided in two parts, 115006 and 105016, that added together give a palindrome (220022).

The spelling of 115006105016 in words is "one hundred fifteen billion, six million, one hundred five thousand, sixteen".