103858332 has 48 divisors (see below), whose sum is σ = 255964800. Its totient is φ = 32685120.

The previous prime is 103858331. The next prime is 103858333. The reversal of 103858332 is 233858301.

It is an interprime number because it is at equal distance from previous prime (103858331) and next prime (103858333).

It is a junction number, because it is equal to n+sod(n) for n = 103858293 and 103858302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103858331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88107 + ... + 89277.

It is an arithmetic number, because the mean of its divisors is an integer number (5332600).

Almost surely, 2^103858332 is an apocalyptic number.

103858332 is a gapful number since it is divisible by the number (12) 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 103858332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127982400).

103858332 is an abundant number, since it is smaller than the sum of its proper divisors (152106468).

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

103858332 is a wasteful number, since it uses less digits than its factorization.

103858332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 103858332 is about 10191.0908150207. The cubic root of 103858332 is about 470.0533091788.

The spelling of 103858332 in words is "one hundred three million, eight hundred fifty-eight thousand, three hundred thirty-two".