103845825 has 36 divisors (see below), whose sum is σ = 190552908. Its totient is φ = 54028800.

The previous prime is 103845821. The next prime is 103845829. The reversal of 103845825 is 528548301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103845821) and next prime (103845829).

It can be written as a sum of positive squares in 6 ways, for example, as 5419584 + 98426241 = 2328^2 + 9921^2 .

It is not a de Polignac number, because 103845825 - 2² = 103845821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103845825.

It is not an unprimeable number, because it can be changed into a prime (103845821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3597 + ... + 14853.

Almost surely, 2^103845825 is an apocalyptic number.

103845825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103845825 is a deficient number, since it is larger than the sum of its proper divisors (86707083).

103845825 is a wasteful number, since it uses less digits than its factorization.

103845825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11314 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 103845825 is about 10190.4771723409. The cubic root of 103845825 is about 470.0344399088.

The spelling of 103845825 in words is "one hundred three million, eight hundred forty-five thousand, eight hundred twenty-five".