105230001300 has 72 divisors (see below), whose sum is σ = 304507760256. Its totient is φ = 28057436160.

The previous prime is 105230001269. The next prime is 105230001311. The reversal of 105230001300 is 3100032501.

It is a happy number.

It is a super-2 number, since 2×105230001300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105230001300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2614932 + ... + 2654868.

It is an arithmetic number, because the mean of its divisors is an integer number (4229274448).

Almost surely, 2^105230001300 is an apocalyptic number.

105230001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105230001300 is an abundant number, since it is smaller than the sum of its proper divisors (199277758956).

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

105230001300 is a wasteful number, since it uses less digits than its factorization.

105230001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48737 (or 48730 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 105230001300 its reverse (3100032501), we get a palindrome (108330033801).

The spelling of 105230001300 in words is "one hundred five billion, two hundred thirty million, one thousand, three hundred".