103665528 has 64 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 34274016.

The previous prime is 103665493. The next prime is 103665553. The reversal of 103665528 is 825566301.

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 = 103665492 and 103665501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25543 + ... + 29321.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^103665528 is an apocalyptic number.

103665528 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 103665528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

103665528 is an abundant number, since it is smaller than the sum of its proper divisors (186638472).

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

103665528 is a wasteful number, since it uses less digits than its factorization.

103665528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 103665528 is about 10181.6269819710. The cubic root of 103665528 is about 469.7622579122.

It can be divided in two parts, 1036 and 65528, that added together give a square (66564 = 258²).

The spelling of 103665528 in words is "one hundred three million, six hundred sixty-five thousand, five hundred twenty-eight".