105212279424 has 192 divisors, whose sum is σ = 325633767840. Its totient is φ = 30011111424.

The previous prime is 105212279317. The next prime is 105212279453. The reversal of 105212279424 is 424972212501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105212279424² (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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12282567 + ... + 12291129.

Almost surely, 2^105212279424 is an apocalyptic number.

105212279424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105212279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162816883920).

105212279424 is an abundant number, since it is smaller than the sum of its proper divisors (220421488416).

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

105212279424 is an equidigital number, since it uses as much as digits as its factorization.

105212279424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 105212279424 in words is "one hundred five billion, two hundred twelve million, two hundred seventy-nine thousand, four hundred twenty-four".