10235105140 has 96 divisors (see below), whose sum is σ = 23992728480. Its totient is φ = 3641573376.

The previous prime is 10235105137. The next prime is 10235105183. The reversal of 10235105140 is 4150153201.

It is a happy number.

10235105140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2741779044 + 7493326096 = 52362^2 + 86564^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5073412 + ... + 5075428.

It is an arithmetic number, because the mean of its divisors is an integer number (249924255).

Almost surely, 2^10235105140 is an apocalyptic number.

10235105140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10235105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11996364240).

10235105140 is an abundant number, since it is smaller than the sum of its proper divisors (13757623340).

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

10235105140 is a wasteful number, since it uses less digits than its factorization.

10235105140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 10235105140 its reverse (4150153201), we get a palindrome (14385258341).

The spelling of 10235105140 in words is "ten billion, two hundred thirty-five million, one hundred five thousand, one hundred forty".