10105253525240 has 32 divisors (see below), whose sum is σ = 23057057345760. Its totient is φ = 3985170403200.

The previous prime is 10105253525233. The next prime is 10105253525267. The reversal of 10105253525240 is 4252535250101.

It is a happy number.

It is a super-2 number, since 2×10105253525240² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10105253525240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1779091091 + ... + 1779096770.

It is an arithmetic number, because the mean of its divisors is an integer number (720533042055).

Almost surely, 2^{10105253525240} is an apocalyptic number.

10105253525240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105253525240 is an abundant number, since it is smaller than the sum of its proper divisors (12951803820520).

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

10105253525240 is a wasteful number, since it uses less digits than its factorization.

10105253525240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558187943 (or 3558187939 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 10105253525240 its reverse (4252535250101), we get a palindrome (14357788775341).

The spelling of 10105253525240 in words is "ten trillion, one hundred five billion, two hundred fifty-three million, five hundred twenty-five thousand, two hundred forty".