103147200 has 504 divisors, whose sum is σ = 429920400. Its totient is φ = 23224320.

The previous prime is 103147189. The next prime is 103147217. The reversal of 103147200 is 2741301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3556786 + ... + 3556814.

Almost surely, 2^103147200 is an apocalyptic number.

103147200 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 103147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214960200).

103147200 is an abundant number, since it is smaller than the sum of its proper divisors (326773200).

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

103147200 is a wasteful number, since it uses less digits than its factorization.

103147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 103147200 is about 10156.1409994151. The cubic root of 103147200 is about 468.9780117381.

Adding to 103147200 its reverse (2741301), we get a palindrome (105888501).

The spelling of 103147200 in words is "one hundred three million, one hundred forty-seven thousand, two hundred".