105633128 has 32 divisors (see below), whose sum is σ = 202802400. Its totient is φ = 51565248.

The previous prime is 105633127. The next prime is 105633131. The reversal of 105633128 is 821336501.

It is a super-2 number, since 2×105633128² = 22316715462128768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105633128.

It is not an unprimeable number, because it can be changed into a prime (105633127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76250 + ... + 77622.

It is an arithmetic number, because the mean of its divisors is an integer number (6337575).

Almost surely, 2^105633128 is an apocalyptic number.

It is an amenable number.

105633128 is a deficient number, since it is larger than the sum of its proper divisors (97169272).

105633128 is a wasteful number, since it uses less digits than its factorization.

105633128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 105633128 is about 10277.7978185991. The cubic root of 105633128 is about 472.7157220685.

Adding to 105633128 its reverse (821336501), we get a palindrome (926969629).

The spelling of 105633128 in words is "one hundred five million, six hundred thirty-three thousand, one hundred twenty-eight".