103800528 has 200 divisors, whose sum is σ = 332098536. Its totient is φ = 31104000.

The previous prime is 103800527. The next prime is 103800559. The reversal of 103800528 is 825008301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 100160064 = 1908^2 + 10008^2 .

It is a super-2 number, since 2×103800528² = 21549099226157568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103800523) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1027678 + ... + 1027778.

Almost surely, 2^103800528 is an apocalyptic number.

103800528 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 103800528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166049268).

103800528 is an abundant number, since it is smaller than the sum of its proper divisors (228298008).

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

103800528 is a wasteful number, since it uses less digits than its factorization.

103800528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 103800528 is about 10188.2544137845. The cubic root of 103800528 is about 469.9660877901.

Adding to 103800528 its reverse (825008301), we get a palindrome (928808829).

The spelling of 103800528 in words is "one hundred three million, eight hundred thousand, five hundred twenty-eight".