105300223120 has 40 divisors (see below), whose sum is σ = 245595390264. Its totient is φ = 41987208192.

The previous prime is 105300223097. The next prime is 105300223151. The reversal of 105300223120 is 21322003501.

It can be written as a sum of positive squares in 4 ways, for example, as 7808903424 + 97491319696 = 88368^2 + 312236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105300223120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2050749 + ... + 2101468.

Almost surely, 2^105300223120 is an apocalyptic number.

105300223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105300223120 is an abundant number, since it is smaller than the sum of its proper divisors (140295167144).

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

105300223120 is a wasteful number, since it uses less digits than its factorization.

105300223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152547 (or 4152541 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 105300223120 its reverse (21322003501), we get a palindrome (126622226621).

The spelling of 105300223120 in words is "one hundred five billion, three hundred million, two hundred twenty-three thousand, one hundred twenty".