103101200 has 60 divisors (see below), whose sum is σ = 250002228. Its totient is φ = 40857600.

The previous prime is 103101199. The next prime is 103101217. The reversal of 103101200 is 2101301.

It can be written as a sum of positive squares in 6 ways, for example, as 16908544 + 86192656 = 4112^2 + 9284^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 44060 + ... + 46340.

Almost surely, 2^103101200 is an apocalyptic number.

103101200 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 103101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125001114).

103101200 is an abundant number, since it is smaller than the sum of its proper divisors (146901028).

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

103101200 is a wasteful number, since it uses less digits than its factorization.

103101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 103101200 is about 10153.8761071819. The cubic root of 103101200 is about 468.9082855078.

Adding to 103101200 its reverse (2101301), we get a palindrome (105202501).

It can be divided in two parts, 103101 and 200, that added together give a palindrome (103301).

The spelling of 103101200 in words is "one hundred three million, one hundred one thousand, two hundred".