105128872 has 16 divisors (see below), whose sum is σ = 198862740. Its totient is φ = 52098816.

The previous prime is 105128861. The next prime is 105128873. The reversal of 105128872 is 278821501.

It can be written as a sum of positive squares in 2 ways, for example, as 67010596 + 38118276 = 8186^2 + 6174^2 .

It is a super-2 number, since 2×105128872² = 22104159455984768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105128873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57243 + ... + 59050.

Almost surely, 2^105128872 is an apocalyptic number.

It is an amenable number.

105128872 is a deficient number, since it is larger than the sum of its proper divisors (93733868).

105128872 is a wasteful number, since it uses less digits than its factorization.

105128872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116412 (or 116408 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 105128872 is about 10253.2371473599. The cubic root of 105128872 is about 471.9623282200.

The spelling of 105128872 in words is "one hundred five million, one hundred twenty-eight thousand, eight hundred seventy-two".