105322412300 has 72 divisors (see below), whose sum is σ = 261257278464. Its totient is φ = 36102565440.

The previous prime is 105322412297. The next prime is 105322412399. The reversal of 105322412300 is 3214223501.

It is a super-2 number, since 2×105322412300² (a number of 23 digits) contains 22 as substring.

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, 3770987 + ... + 3798813.

It is an arithmetic number, because the mean of its divisors is an integer number (3628573312).

Almost surely, 2^105322412300 is an apocalyptic number.

105322412300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105322412300 is an abundant number, since it is smaller than the sum of its proper divisors (155934866164).

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

105322412300 is a wasteful number, since it uses less digits than its factorization.

105322412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33255 (or 33248 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 105322412300 its reverse (3214223501), we get a palindrome (108536635801).

The spelling of 105322412300 in words is "one hundred five billion, three hundred twenty-two million, four hundred twelve thousand, three hundred".