103132120 has 128 divisors (see below), whose sum is σ = 295747200. Its totient is φ = 31481856.

The previous prime is 103132111. The next prime is 103132123. The reversal of 103132120 is 21231301.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 103132120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132123) 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, 105072 + ... + 106048.

It is an arithmetic number, because the mean of its divisors is an integer number (2310525).

Almost surely, 2^103132120 is an apocalyptic number.

103132120 is a gapful number since it is divisible by the number (10) 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 103132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147873600).

103132120 is an abundant number, since it is smaller than the sum of its proper divisors (192615080).

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

103132120 is a wasteful number, since it uses less digits than its factorization.

103132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 103132120 is about 10155.3985643105. The cubic root of 103132120 is about 468.9551559453.

Adding to 103132120 its reverse (21231301), we get a palindrome (124363421).

The spelling of 103132120 in words is "one hundred three million, one hundred thirty-two thousand, one hundred twenty".