105028608 has 88 divisors (see below), whose sum is σ = 282977280. Its totient is φ = 34631680.

The previous prime is 105028591. The next prime is 105028613. The reversal of 105028608 is 806820501.

It is a super-2 number, since 2×105028608² = 22062016996835328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549793 + ... + 549983.

Almost surely, 2^105028608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

105028608 is an abundant number, since it is smaller than the sum of its proper divisors (177948672).

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

105028608 is a wasteful number, since it uses less digits than its factorization.

105028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 105028608 is about 10248.3465983543. The cubic root of 105028608 is about 471.8122397885.

It can be divided in two parts, 10502 and 8608, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 105028608 in words is "one hundred five million, twenty-eight thousand, six hundred eight".