103121200 has 120 divisors (see below), whose sum is σ = 305029088. Its totient is φ = 32624640.

The previous prime is 103121197. The next prime is 103121209. The reversal of 103121200 is 2121301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (103121209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34984 + ... + 37816.

Almost surely, 2^103121200 is an apocalyptic number.

103121200 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 103121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152514544).

103121200 is an abundant number, since it is smaller than the sum of its proper divisors (201907888).

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

103121200 is a wasteful number, since it uses less digits than its factorization.

103121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 103121200 is about 10154.8609050051. The cubic root of 103121200 is about 468.9386038079.

Adding to 103121200 its reverse (2121301), we get a palindrome (105242501).

The spelling of 103121200 in words is "one hundred three million, one hundred twenty-one thousand, two hundred".