103552 has 16 divisors (see below), whose sum is σ = 206550. Its totient is φ = 51712.

The previous prime is 103549. The next prime is 103553. The reversal of 103552 is 255301.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 33856 = 264^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×103552³ = 3331169477197824, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 277 + ... + 532.

2¹⁰³⁵⁵² is an apocalyptic number.

It is an amenable number.

103552 is a deficient number, since it is larger than the sum of its proper divisors (102998).

103552 is an frugal number, since it uses more digits than its factorization.

103552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 103552 is about 321.7949657779. The cubic root of 103552 is about 46.9590710530.

Adding to 103552 its reverse (255301), we get a palindrome (358853).

The spelling of 103552 in words is "one hundred three thousand, five hundred fifty-two".