100052 has 6 divisors (see below), whose sum is σ = 175098. Its totient is φ = 50024.

The previous prime is 100049. The next prime is 100057. The reversal of 100052 is 250001.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 196 = 316^2 + 14^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100052.

It is not an unprimeable number, because it can be changed into a prime (100057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12503 + ... + 12510.

It is an arithmetic number, because the mean of its divisors is an integer number (29183).

2¹⁰⁰⁰⁵² is an apocalyptic number.

It is an amenable number.

100052 is a deficient number, since it is larger than the sum of its proper divisors (75046).

100052 is a wasteful number, since it uses less digits than its factorization.

100052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25017 (or 25015 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 100052 is about 316.3099745503. The cubic root of 100052 is about 46.4239323626.

Adding to 100052 its reverse (250001), we get a palindrome (350053).

The spelling of 100052 in words is "one hundred thousand, fifty-two".