103851828 has 48 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 34460352.

The previous prime is 103851823. The next prime is 103851851. The reversal of 103851828 is 828158301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103851792 and 103851801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103851823) 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, 23101 + ... + 27227.

It is an arithmetic number, because the mean of its divisors is an integer number (5634720).

Almost surely, 2^103851828 is an apocalyptic number.

103851828 is a gapful number since it is divisible by the number (18) 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 103851828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

103851828 is an abundant number, since it is smaller than the sum of its proper divisors (166614732).

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

103851828 is a wasteful number, since it uses less digits than its factorization.

103851828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 103851828 is about 10190.7717077756. The cubic root of 103851828 is about 470.0434968043.

The spelling of 103851828 in words is "one hundred three million, eight hundred fifty-one thousand, eight hundred twenty-eight".