103397200 has 60 divisors (see below), whose sum is σ = 251885788. Its totient is φ = 40780800.

The previous prime is 103397159. The next prime is 103397249. The reversal of 103397200 is 2793301.

It can be written as a sum of positive squares in 6 ways, for example, as 2274064 + 101123136 = 1508^2 + 10056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27430 + ... + 30970.

Almost surely, 2^103397200 is an apocalyptic number.

103397200 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 103397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125942894).

103397200 is an abundant number, since it is smaller than the sum of its proper divisors (148488588).

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

103397200 is a wasteful number, since it uses less digits than its factorization.

103397200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 103397200 is about 10168.4413751568. The cubic root of 103397200 is about 469.3565966072.

The spelling of 103397200 in words is "one hundred three million, three hundred ninety-seven thousand, two hundred".