100552 has 8 divisors (see below), whose sum is σ = 188550. Its totient is φ = 50272.

The previous prime is 100549. The next prime is 100559. The reversal of 100552 is 255001.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 45796 = 234^2 + 214^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×100552² = 20221409408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6277 + ... + 6292.

2¹⁰⁰⁵⁵² is an apocalyptic number.

It is an amenable number.

100552 is a deficient number, since it is larger than the sum of its proper divisors (87998).

100552 is a wasteful number, since it uses less digits than its factorization.

100552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12575 (or 12571 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 100552 is about 317.0993535156. The cubic root of 100552 is about 46.5011369052.

Adding to 100552 its reverse (255001), we get a palindrome (355553).

Subtracting 100552 from its reverse (255001), we obtain a square (154449 = 393²).

The spelling of 100552 in words is "one hundred thousand, five hundred fifty-two".