105259127472 has 240 divisors, whose sum is σ = 308019348000. Its totient is φ = 33525596160.

The previous prime is 105259127437. The next prime is 105259127483. The reversal of 105259127472 is 274721952501.

105259127472 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 59 + 127 + 472 = 666.

It is a super-2 number, since 2×105259127472² (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156402528 + ... + 156403200.

It is an arithmetic number, because the mean of its divisors is an integer number (1283413950).

Almost surely, 2^105259127472 is an apocalyptic number.

105259127472 is a gapful number since it is divisible by the number (12) 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 105259127472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154009674000).

105259127472 is an abundant number, since it is smaller than the sum of its proper divisors (202760220528).

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

105259127472 is a wasteful number, since it uses less digits than its factorization.

105259127472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 105259127472 in words is "one hundred five billion, two hundred fifty-nine million, one hundred twenty-seven thousand, four hundred seventy-two".