10235642505 has 64 divisors (see below), whose sum is σ = 18879160320. Its totient is φ = 4686739200.

The previous prime is 10235642477. The next prime is 10235642531. The reversal of 10235642505 is 50524653201.

It is not a de Polignac number, because 10235642505 - 2⁷ = 10235642377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 282735 + ... + 316875.

It is an arithmetic number, because the mean of its divisors is an integer number (294986880).

Almost surely, 2^10235642505 is an apocalyptic number.

10235642505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10235642505 is a deficient number, since it is larger than the sum of its proper divisors (8643517815).

10235642505 is a wasteful number, since it uses less digits than its factorization.

10235642505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34262.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 10235642505 in words is "ten billion, two hundred thirty-five million, six hundred forty-two thousand, five hundred five".