103609109205 has 192 divisors, whose sum is σ = 217478596608. Its totient is φ = 46343404800.

The previous prime is 103609109203. The next prime is 103609109221. The reversal of 103609109205 is 502901906301.

103609109205 is a `hidden beast` number, since 1 + 0 + 360 + 91 + 0 + 9 + 205 = 666.

It is not a de Polignac number, because 103609109205 - 2¹ = 103609109203 is a prime.

It is a super-3 number, since 3×103609109205³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103609109205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103609109203) 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 191 ways as a sum of consecutive naturals, for example, 98580930 + ... + 98581980.

It is an arithmetic number, because the mean of its divisors is an integer number (1132701024).

Almost surely, 2^103609109205 is an apocalyptic number.

103609109205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103609109205 is an abundant number, since it is smaller than the sum of its proper divisors (113869487403).

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

103609109205 is a wasteful number, since it uses less digits than its factorization.

103609109205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 103609109205 in words is "one hundred three billion, six hundred nine million, one hundred nine thousand, two hundred five".