103120832106 has 64 divisors (see below), whose sum is σ = 232506858240. Its totient is φ = 33871703040.

The previous prime is 103120832077. The next prime is 103120832107. The reversal of 103120832106 is 601238021301.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103120832106.

It is not an unprimeable number, because it can be changed into a prime (103120832107) 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, 8708766 + ... + 8720598.

It is an arithmetic number, because the mean of its divisors is an integer number (3632919660).

Almost surely, 2^103120832106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103120832106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116253429120).

103120832106 is an abundant number, since it is smaller than the sum of its proper divisors (129386026134).

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

103120832106 is a wasteful number, since it uses less digits than its factorization.

103120832106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14188 (or 14182 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 103120832106 its reverse (601238021301), we get a palindrome (704358853407).

The spelling of 103120832106 in words is "one hundred three billion, one hundred twenty million, eight hundred thirty-two thousand, one hundred six".