105004728 has 32 divisors (see below), whose sum is σ = 291680400. Its totient is φ = 35001504.

The previous prime is 105004717. The next prime is 105004747. The reversal of 105004728 is 827400501.

It is a super-2 number, since 2×105004728² = 22051985804707968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242851 + ... + 243282.

Almost surely, 2^105004728 is an apocalyptic number.

105004728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105004728 is an abundant number, since it is smaller than the sum of its proper divisors (186675672).

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

105004728 is a wasteful number, since it uses less digits than its factorization.

105004728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486148 (or 486138 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105004728 is about 10247.1814661398. The cubic root of 105004728 is about 471.7764789594.

The spelling of 105004728 in words is "one hundred five million, four thousand, seven hundred twenty-eight".