105105628 has 24 divisors (see below), whose sum is σ = 201474000. Its totient is φ = 47755008.

The previous prime is 105105617. The next prime is 105105659. The reversal of 105105628 is 826501501.

It is a super-2 number, since 2×105105628² = 22094386074548768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105105596 and 105105605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24678 + ... + 28621.

It is an arithmetic number, because the mean of its divisors is an integer number (8394750).

Almost surely, 2^105105628 is an apocalyptic number.

It is an amenable number.

105105628 is a deficient number, since it is larger than the sum of its proper divisors (96368372).

105105628 is a wasteful number, since it uses less digits than its factorization.

105105628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53349 (or 53347 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 105105628 is about 10252.1035890202. The cubic root of 105105628 is about 471.9275420230.

The spelling of 105105628 in words is "one hundred five million, one hundred five thousand, six hundred twenty-eight".