103120000 has 80 divisors (see below), whose sum is σ = 256909950. Its totient is φ = 41216000.

The previous prime is 103119949. The next prime is 103120001. The reversal of 103120000 is 21301.

It can be written as a sum of positive squares in 5 ways, for example, as 7706176 + 95413824 = 2776^2 + 9768^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (103120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79356 + ... + 80644.

Almost surely, 2^103120000 is an apocalyptic number.

103120000 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 103120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128454975).

103120000 is an abundant number, since it is smaller than the sum of its proper divisors (153789950).

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

103120000 is an frugal number, since it uses more digits than its factorization.

103120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 103120000 is about 10154.8018198289. The cubic root of 103120000 is about 468.9367848204.

Adding to 103120000 its reverse (21301), we get a palindrome (103141301).

The spelling of 103120000 in words is "one hundred three million, one hundred twenty thousand".