10500735 has 32 divisors (see below), whose sum is σ = 19418112. Its totient is φ = 4746240.

The previous prime is 10500703. The next prime is 10500739. The reversal of 10500735 is 53700501.

It is a happy number.

10500735 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 10500735 - 2⁵ = 10500703 is a prime.

It is a super-2 number, since 2×10500735² = 220530871080450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500739) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9670 + ... + 10700.

It is an arithmetic number, because the mean of its divisors is an integer number (606816).

Almost surely, 2^10500735 is an apocalyptic number.

10500735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10500735 is a deficient number, since it is larger than the sum of its proper divisors (8917377).

10500735 is a wasteful number, since it uses less digits than its factorization.

10500735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 10500735 is about 3240.4837601815. The cubic root of 10500735 is about 218.9810663142.

The spelling of 10500735 in words is "ten million, five hundred thousand, seven hundred thirty-five".