10235105201540 has 48 divisors (see below), whose sum is σ = 22444472494080. Its totient is φ = 3913204352640.

The previous prime is 10235105201527. The next prime is 10235105201561. The reversal of 10235105201540 is 4510250153201.

10235105201540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7420580 + ... + 8691099.

It is an arithmetic number, because the mean of its divisors is an integer number (467593176960).

Almost surely, 2^{10235105201540} is an apocalyptic number.

10235105201540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10235105201540 is an abundant number, since it is smaller than the sum of its proper divisors (12209367292540).

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

10235105201540 is a wasteful number, since it uses less digits than its factorization.

10235105201540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16113092 (or 16113090 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 10235105201540 its reverse (4510250153201), we get a palindrome (14745355354741).

The spelling of 10235105201540 in words is "ten trillion, two hundred thirty-five billion, one hundred five million, two hundred one thousand, five hundred forty".