105238155859224 has 128 divisors (see below), whose sum is σ = 268048261152000. Its totient is φ = 34421227520000.

The previous prime is 105238155859219. The next prime is 105238155859237. The reversal of 105238155859224 is 422958551832501.

It is a Cunningham number, because it is equal to 10258565²-1.

It is a super-2 number, since 2×105238155859224² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3631517167 + ... + 3631546145.

It is an arithmetic number, because the mean of its divisors is an integer number (2094127040250).

Almost surely, 2^{105238155859224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105238155859224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134024130576000).

105238155859224 is an abundant number, since it is smaller than the sum of its proper divisors (162810105292776).

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

105238155859224 is a wasteful number, since it uses less digits than its factorization.

105238155859224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33689 (or 33685 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 60.

The spelling of 105238155859224 in words is "one hundred five trillion, two hundred thirty-eight billion, one hundred fifty-five million, eight hundred fifty-nine thousand, two hundred twenty-four".