103680400 has 30 divisors (see below), whose sum is σ = 249093122. Its totient is φ = 41472000.

The previous prime is 103680383. The next prime is 103680403. The reversal of 103680400 is 4086301.

It can be written as a sum of positive squares in 3 ways, for example, as 2396304 + 101284096 = 1548^2 + 10064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103680403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129201 + ... + 130000.

Almost surely, 2^103680400 is an apocalyptic number.

103680400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103680400 is an abundant number, since it is smaller than the sum of its proper divisors (145412722).

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

103680400 is a wasteful number, since it uses less digits than its factorization.

103680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259219 (or 259208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 103680400 is about 10182.3572909224. The cubic root of 103680400 is about 469.7847210857.

The spelling of 103680400 in words is "one hundred three million, six hundred eighty thousand, four hundred".