103865628 has 72 divisors (see below), whose sum is σ = 262447360. Its totient is φ = 31881600.

The previous prime is 103865627. The next prime is 103865639. The reversal of 103865628 is 826568301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103865621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383133 + ... + 383403.

Almost surely, 2^103865628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103865628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131223680).

103865628 is an abundant number, since it is smaller than the sum of its proper divisors (158581732).

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

103865628 is a wasteful number, since it uses less digits than its factorization.

103865628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 103865628 is about 10191.4487684529. The cubic root of 103865628 is about 470.0643159306.

It can be divided in two parts, 1038 and 65628, that added together give a palindrome (66666).

The spelling of 103865628 in words is "one hundred three million, eight hundred sixty-five thousand, six hundred twenty-eight".