103211200 has 84 divisors (see below), whose sum is σ = 255967992. Its totient is φ = 40960000.

The previous prime is 103211197. The next prime is 103211231. The reversal of 103211200 is 2112301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401472 + ... + 401728.

It is an arithmetic number, because the mean of its divisors is an integer number (3047238).

Almost surely, 2^103211200 is an apocalyptic number.

103211200 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 103211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127983996).

103211200 is an abundant number, since it is smaller than the sum of its proper divisors (152756792).

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

103211200 is a wasteful number, since it uses less digits than its factorization.

103211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

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

The square root of 103211200 is about 10159.2913138663. The cubic root of 103211200 is about 469.0749876687.

Adding to 103211200 its reverse (2112301), we get a palindrome (105323501).

The spelling of 103211200 in words is "one hundred three million, two hundred eleven thousand, two hundred".