105253244520 has 32 divisors (see below), whose sum is σ = 315759733920. Its totient is φ = 28067531840.

The previous prime is 105253244489. The next prime is 105253244527. The reversal of 105253244520 is 25442352501.

It is a happy number.

105253244520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105253244520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105253244527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438555066 + ... + 438555305.

It is an arithmetic number, because the mean of its divisors is an integer number (9867491685).

Almost surely, 2^105253244520 is an apocalyptic number.

105253244520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105253244520 is an abundant number, since it is smaller than the sum of its proper divisors (210506489400).

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

105253244520 is a wasteful number, since it uses less digits than its factorization.

105253244520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877110385 (or 877110381 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 105253244520 in words is "one hundred five billion, two hundred fifty-three million, two hundred forty-four thousand, five hundred twenty".