105313430212000 has 48 divisors (see below), whose sum is σ = 258755098040712. Its totient is φ = 42125372083200.

The previous prime is 105313430211971. The next prime is 105313430212033. The reversal of 105313430212000 is 212034313501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33815108885776 + 71498321326224 = 5815076^2 + 8455668^2 .

It is a super-2 number, since 2×105313430212000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13164174777 + ... + 13164182776.

Almost surely, 2^{105313430212000} is an apocalyptic number.

105313430212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105313430212000 is an abundant number, since it is smaller than the sum of its proper divisors (153441667828712).

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

105313430212000 is an equidigital number, since it uses as much as digits as its factorization.

105313430212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26328357578 (or 26328357560 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 105313430212000 its reverse (212034313501), we get a palindrome (105525464525501).

The spelling of 105313430212000 in words is "one hundred five trillion, three hundred thirteen billion, four hundred thirty million, two hundred twelve thousand".