105357128 has 36 divisors (see below), whose sum is σ = 209586195. Its totient is φ = 49644720.

The previous prime is 105357121. The next prime is 105357157. The reversal of 105357128 is 821753501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 52678564 + 52678564 = 7258^2 + 7258^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7258.

It is a super-2 number, since 2×105357128² = 22200248840816768, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105357094 and 105357103.

It is not an unprimeable number, because it can be changed into a prime (105357121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 551513 + ... + 551703.

Almost surely, 2^105357128 is an apocalyptic number.

It is an amenable number.

105357128 is a deficient number, since it is larger than the sum of its proper divisors (104229067).

105357128 is an equidigital number, since it uses as much as digits as its factorization.

105357128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 105357128 is about 10264.3620357039. The cubic root of 105357128 is about 472.3036564663.

Multiplying 105357128 by its sum of digits (32), we get a square (3371428096 = 58064²).

The spelling of 105357128 in words is "one hundred five million, three hundred fifty-seven thousand, one hundred twenty-eight".