105128 has 16 divisors (see below), whose sum is σ = 208980. Its totient is φ = 49408.

The previous prime is 105107. The next prime is 105137. The reversal of 105128 is 821501.

105128 = T₃₇ + T₃₈ + ... + T₈₇.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 1444 = 322^2 + 38^2 .

It is a super-2 number, since 2×105128² = 22103792768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

105128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251 + ... + 522.

2¹⁰⁵¹²⁸ is an apocalyptic number.

It is an amenable number.

105128 is a deficient number, since it is larger than the sum of its proper divisors (103852).

105128 is a wasteful number, since it uses less digits than its factorization.

105128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 105128 is about 324.2344830520. The cubic root of 105128 is about 47.1961023306.

Subtracting from 105128 its sum of digits (17), we obtain a triangular number (105111 = T₄₅₈).

Adding to 105128 its reverse (821501), we get a palindrome (926629).

The spelling of 105128 in words is "one hundred five thousand, one hundred twenty-eight".