103540352 has 32 divisors (see below), whose sum is σ = 208340100. Its totient is φ = 51251200.

The previous prime is 103540337. The next prime is 103540439. The reversal of 103540352 is 253045301.

It can be written as a sum of positive squares in 2 ways, for example, as 90174016 + 13366336 = 9496^2 + 3656^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×103540352³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8924 + ... + 16932.

Almost surely, 2^103540352 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 103540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104170050).

103540352 is an abundant number, since it is smaller than the sum of its proper divisors (104799748).

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

103540352 is an equidigital number, since it uses as much as digits as its factorization.

103540352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8124 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 103540352 is about 10175.4779740315. The cubic root of 103540352 is about 469.5731026369.

Adding to 103540352 its reverse (253045301), we get a palindrome (356585653).

The spelling of 103540352 in words is "one hundred three million, five hundred forty thousand, three hundred fifty-two".