105097128 has 32 divisors (see below), whose sum is σ = 278199360. Its totient is φ = 32971520.

The previous prime is 105097127. The next prime is 105097129. The reversal of 105097128 is 821790501.

It is an interprime number because it is at equal distance from previous prime (105097127) and next prime (105097129).

It is a super-2 number, since 2×105097128² = 22090812627696768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105097127) by changing a digit.

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, 128388 + ... + 129203.

It is an arithmetic number, because the mean of its divisors is an integer number (8693730).

Almost surely, 2^105097128 is an apocalyptic number.

It is an amenable number.

105097128 is an abundant number, since it is smaller than the sum of its proper divisors (173102232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105097128 is a wasteful number, since it uses less digits than its factorization.

105097128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257617 (or 257613 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 105097128 is about 10251.6890315694. The cubic root of 105097128 is about 471.9148199252.

The spelling of 105097128 in words is "one hundred five million, ninety-seven thousand, one hundred twenty-eight".