103005205116 has 96 divisors (see below), whose sum is σ = 271250816256. Its totient is φ = 30150720000.

The previous prime is 103005205091. The next prime is 103005205133. The reversal of 103005205116 is 611502500301.

It is a super-2 number, since 2×103005205116² (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, 452391 + ... + 640833.

It is an arithmetic number, because the mean of its divisors is an integer number (2825529336).

Almost surely, 2^103005205116 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 103005205116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135625408128).

103005205116 is an abundant number, since it is smaller than the sum of its proper divisors (168245611140).

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

103005205116 is a wasteful number, since it uses less digits than its factorization.

103005205116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188603 (or 188601 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 103005205116 its reverse (611502500301), we get a palindrome (714507705417).

The spelling of 103005205116 in words is "one hundred three billion, five million, two hundred five thousand, one hundred sixteen".