105931485826530 has 256 divisors, whose sum is σ = 314624232308736. Its totient is φ = 22227671531520.

The previous prime is 105931485826519. The next prime is 105931485826553. The reversal of 105931485826530 is 35628584139501.

It is a super-2 number, since 2×105931485826530² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

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 127 ways as a sum of consecutive naturals, for example, 1795084725 + ... + 1795143735.

It is an arithmetic number, because the mean of its divisors is an integer number (1229000907456).

Almost surely, 2^{105931485826530} is an apocalyptic number.

105931485826530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105931485826530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157312116154368).

105931485826530 is an abundant number, since it is smaller than the sum of its proper divisors (208692746482206).

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

105931485826530 is a wasteful number, since it uses less digits than its factorization.

105931485826530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62641.

The product of its (nonzero) digits is 31104000, while the sum is 60.

The spelling of 105931485826530 in words is "one hundred five trillion, nine hundred thirty-one billion, four hundred eighty-five million, eight hundred twenty-six thousand, five hundred thirty".