105253063515300 has 144 divisors (see below), whose sum is σ = 308830189352832. Its totient is φ = 27671377843200.

The previous prime is 105253063515277. The next prime is 105253063515331. The reversal of 105253063515300 is 3515360352501.

It is a super-2 number, since 2×105253063515300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1399734504 + ... + 1399809696.

It is an arithmetic number, because the mean of its divisors is an integer number (2144654092728).

Almost surely, 2^{105253063515300} is an apocalyptic number.

105253063515300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105253063515300 is an abundant number, since it is smaller than the sum of its proper divisors (203577125837532).

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

105253063515300 is a wasteful number, since it uses less digits than its factorization.

105253063515300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140998 (or 140991 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 39.

The spelling of 105253063515300 in words is "one hundred five trillion, two hundred fifty-three billion, sixty-three million, five hundred fifteen thousand, three hundred".