105052928 has 72 divisors (see below), whose sum is σ = 225167040. Its totient is φ = 48742400.

The previous prime is 105052907. The next prime is 105052931. The reversal of 105052928 is 829250501.

It is a super-2 number, since 2×105052928² = 22072235362746368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 105052894 and 105052903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439433 + ... + 439671.

It is an arithmetic number, because the mean of its divisors is an integer number (3127320).

Almost surely, 2^105052928 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 105052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112583520).

105052928 is an abundant number, since it is smaller than the sum of its proper divisors (120114112).

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

105052928 is a wasteful number, since it uses less digits than its factorization.

105052928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 105052928 is about 10249.5330625351. The cubic root of 105052928 is about 471.8486539565.

The spelling of 105052928 in words is "one hundred five million, fifty-two thousand, nine hundred twenty-eight".