105578028 has 36 divisors (see below), whose sum is σ = 267351448. Its totient is φ = 35130240.

The previous prime is 105577999. The next prime is 105578059. The reversal of 105578028 is 820875501.

105578028 is a `hidden beast` number, since 1 + 0 + 557 + 80 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105578028² = 22293439992737568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105577983 and 105578001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20868 + ... + 25428.

Almost surely, 2^105578028 is an apocalyptic number.

105578028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105578028 is an abundant number, since it is smaller than the sum of its proper divisors (161773420).

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

105578028 is a wasteful number, since it uses less digits than its factorization.

105578028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5209 counting only the distinct ones).

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

The square root of 105578028 is about 10275.1169336412. The cubic root of 105578028 is about 472.6335156405.

The spelling of 105578028 in words is "one hundred five million, five hundred seventy-eight thousand, twenty-eight".