103800825 has 48 divisors (see below), whose sum is σ = 192666240. Its totient is φ = 54786240.

The previous prime is 103800821. The next prime is 103800877. The reversal of 103800825 is 528008301.

It is a happy number.

It is not a de Polignac number, because 103800825 - 2² = 103800821 is a prime.

It is a super-2 number, since 2×103800825² = 21549222541361250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103800821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68779 + ... + 70271.

It is an arithmetic number, because the mean of its divisors is an integer number (4013880).

Almost surely, 2^103800825 is an apocalyptic number.

103800825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103800825 is a deficient number, since it is larger than the sum of its proper divisors (88865415).

103800825 is a wasteful number, since it uses less digits than its factorization.

103800825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 103800825 is about 10188.2689893819. The cubic root of 103800825 is about 469.9665360209.

The spelling of 103800825 in words is "one hundred three million, eight hundred thousand, eight hundred twenty-five".