105728037 has 8 divisors (see below), whose sum is σ = 141431136. Its totient is φ = 70255152.

The previous prime is 105728003. The next prime is 105728047. The reversal of 105728037 is 730827501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105728037 - 2⁸ = 105727781 is a prime.

It is a super-2 number, since 2×105728037² = 22356835615746738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105727989 and 105728007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105728047) by changing a digit.

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, 56478 + ... + 58319.

It is an arithmetic number, because the mean of its divisors is an integer number (17678892).

Almost surely, 2^105728037 is an apocalyptic number.

It is an amenable number.

105728037 is a deficient number, since it is larger than the sum of its proper divisors (35703099).

105728037 is a wasteful number, since it uses less digits than its factorization.

105728037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115107.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 105728037 is about 10282.4139675467. The cubic root of 105728037 is about 472.8572545192.

The spelling of 105728037 in words is "one hundred five million, seven hundred twenty-eight thousand, thirty-seven".