105628 has 6 divisors (see below), whose sum is σ = 184856. Its totient is φ = 52812.

The previous prime is 105619. The next prime is 105649. The reversal of 105628 is 826501.

It is a happy number.

It is a super-2 number, since 2×105628² = 22314548768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105599 and 105608.

It is a congruent number.

It is an unprimeable number.

105628 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 as a sum of consecutive naturals, namely, 13200 + ... + 13207.

2¹⁰⁵⁶²⁸ is an apocalyptic number.

It is an amenable number.

105628 is a deficient number, since it is larger than the sum of its proper divisors (79228).

105628 is a wasteful number, since it uses less digits than its factorization.

105628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26411 (or 26409 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105628 is about 325.0046153518. The cubic root of 105628 is about 47.2708072557.

It can be divided in two parts, 10 and 5628, that multiplied together give a triangular number (56280 = T₃₃₅).

The spelling of 105628 in words is "one hundred five thousand, six hundred twenty-eight".