10500105 has 32 divisors (see below), whose sum is σ = 20947968. Its totient is φ = 4363200.

The previous prime is 10500089. The next prime is 10500107. The reversal of 10500105 is 50100501.

10500105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10500105 - 2⁴ = 10500089 is a prime.

It is a super-2 number, since 2×10500105² = 220504410022050, which contains 22 as substring.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10500107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3391 + ... + 5700.

It is an arithmetic number, because the mean of its divisors is an integer number (654624).

Almost surely, 2^10500105 is an apocalyptic number.

10500105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10500105 is a deficient number, since it is larger than the sum of its proper divisors (10447863).

10500105 is a wasteful number, since it uses less digits than its factorization.

10500105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9117.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 10500105 is about 3240.3865510152. The cubic root of 10500105 is about 218.9766869118.

Adding to 10500105 its reverse (50100501), we get a palindrome (60600606).

It can be divided in two parts, 10500 and 105, that multiplied together give a square (1102500 = 1050²).

The spelling of 10500105 in words is "ten million, five hundred thousand, one hundred five".