103825638 has 64 divisors (see below), whose sum is σ = 267018240. Its totient is φ = 29655720.

The previous prime is 103825627. The next prime is 103825639. The reversal of 103825638 is 836528301.

103825638 is a `hidden beast` number, since 10 + 3 + 8 + 2 + 5 + 638 = 666.

It is a super-2 number, since 2×103825638² = 21559526212214088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103825639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28923 + ... + 32313.

It is an arithmetic number, because the mean of its divisors is an integer number (4172160).

Almost surely, 2^103825638 is an apocalyptic number.

103825638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103825638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133509120).

103825638 is an abundant number, since it is smaller than the sum of its proper divisors (163192602).

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

103825638 is an frugal number, since it uses more digits than its factorization.

103825638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 103825638 is about 10189.4866406507. The cubic root of 103825638 is about 470.0039806514.

The spelling of 103825638 in words is "one hundred three million, eight hundred twenty-five thousand, six hundred thirty-eight".