105100 has 18 divisors (see below), whose sum is σ = 228284. Its totient is φ = 42000.

The previous prime is 105097. The next prime is 105107. The reversal of 105100 is 1501.

It is a super-2 number, since 2×105100² = 22092020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 426 + ... + 625.

2¹⁰⁵¹⁰⁰ is an apocalyptic number.

105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105100 is an abundant number, since it is smaller than the sum of its proper divisors (123184).

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

105100 is a wasteful number, since it uses less digits than its factorization.

105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 105100 is about 324.1913015489. The cubic root of 105100 is about 47.1919118574.

Adding to 105100 its reverse (1501), we get a palindrome (106601).

The spelling of 105100 in words is "one hundred five thousand, one hundred".