105057828 has 18 divisors (see below), whose sum is σ = 265562934. Its totient is φ = 35019264.

The previous prime is 105057817. The next prime is 105057839. The reversal of 105057828 is 828750501.

105057828 is a `hidden beast` number, since 10 + 50 + 578 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (105057817) and next prime (105057839).

It can be written as a sum of positive squares in only one way, i.e., 75377124 + 29680704 = 8682^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105057828² = 22074294448155168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2918273 = 105057828 / (1 + 0 + 5 + 0 + 5 + 7 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 105057792 and 105057801.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1459101 + ... + 1459172.

Almost surely, 2^105057828 is an apocalyptic number.

105057828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105057828 is an abundant number, since it is smaller than the sum of its proper divisors (160505106).

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

105057828 is a wasteful number, since it uses less digits than its factorization.

105057828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918283 (or 2918278 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 105057828 is about 10249.7720950273. The cubic root of 105057828 is about 471.8559900124.

The spelling of 105057828 in words is "one hundred five million, fifty-seven thousand, eight hundred twenty-eight".