105307628 has 12 divisors (see below), whose sum is σ = 184425360. Its totient is φ = 52614672.

The previous prime is 105307607. The next prime is 105307637. The reversal of 105307628 is 826703501.

It is a happy number.

It is a super-2 number, since 2×105307628² = 22179393029972768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105307594 and 105307603.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3248 + ... + 14871.

It is an arithmetic number, because the mean of its divisors is an integer number (15368780).

Almost surely, 2^105307628 is an apocalyptic number.

It is an amenable number.

105307628 is a deficient number, since it is larger than the sum of its proper divisors (79117732).

105307628 is a wasteful number, since it uses less digits than its factorization.

105307628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19576 (or 19574 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 105307628 is about 10261.9504968597. The cubic root of 105307628 is about 472.2296773130.

The spelling of 105307628 in words is "one hundred five million, three hundred seven thousand, six hundred twenty-eight".