103531520 has 88 divisors (see below), whose sum is σ = 252665304. Its totient is φ = 40697856.

The previous prime is 103531517. The next prime is 103531523. The reversal of 103531520 is 25135301.

It is an interprime number because it is at equal distance from previous prime (103531517) and next prime (103531523).

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 100320256 = 1792^2 + 10016^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103531492 and 103531501.

It is not an unprimeable number, because it can be changed into a prime (103531523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373622 + ... + 373898.

Almost surely, 2^103531520 is an apocalyptic number.

103531520 is a gapful number since it is divisible by the number (10) 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 103531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126332652).

103531520 is an abundant number, since it is smaller than the sum of its proper divisors (149133784).

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

103531520 is an equidigital number, since it uses as much as digits as its factorization.

103531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 103531520 is about 10175.0439802489. The cubic root of 103531520 is about 469.5597507167.

Adding to 103531520 its reverse (25135301), we get a palindrome (128666821).

The spelling of 103531520 in words is "one hundred three million, five hundred thirty-one thousand, five hundred twenty".