103215200 has 144 divisors (see below), whose sum is σ = 283200624. Its totient is φ = 36403200.

The previous prime is 103215199. The next prime is 103215209. The reversal of 103215200 is 2512301.

It is a happy number.

It is a super-2 number, since 2×103215200² = 21306755022080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103215209) 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 23 ways as a sum of consecutive naturals, for example, 325442 + ... + 325758.

It is an arithmetic number, because the mean of its divisors is an integer number (1966671).

Almost surely, 2^103215200 is an apocalyptic number.

103215200 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 103215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141600312).

103215200 is an abundant number, since it is smaller than the sum of its proper divisors (179985424).

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

103215200 is a wasteful number, since it uses less digits than its factorization.

103215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 103215200 is about 10159.4881760845. The cubic root of 103215200 is about 469.0810473332.

Adding to 103215200 its reverse (2512301), we get a palindrome (105727501).

The spelling of 103215200 in words is "one hundred three million, two hundred fifteen thousand, two hundred".