103725600 has 144 divisors (see below), whose sum is σ = 368413920. Its totient is φ = 25139200.

The previous prime is 103725527. The next prime is 103725623. The reversal of 103725600 is 6527301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24436 + ... + 28364.

It is an arithmetic number, because the mean of its divisors is an integer number (2558430).

Almost surely, 2^103725600 is an apocalyptic number.

103725600 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 103725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184206960).

103725600 is an abundant number, since it is smaller than the sum of its proper divisors (264688320).

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

103725600 is a wasteful number, since it uses less digits than its factorization.

103725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 103725600 is about 10184.5765744090. The cubic root of 103725600 is about 469.8529795171.

The spelling of 103725600 in words is "one hundred three million, seven hundred twenty-five thousand, six hundred".