105855326382936 has 128 divisors (see below), whose sum is σ = 290430550045440. Its totient is φ = 31949922700800.

The previous prime is 105855326382917. The next prime is 105855326382983. The reversal of 105855326382936 is 639283623558501.

It is a happy number.

It is a super-2 number, since 2×105855326382936² (a number of 29 digits) contains 22 as substring.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 82223151 + ... + 83500641.

It is an arithmetic number, because the mean of its divisors is an integer number (2268988672230).

Almost surely, 2^{105855326382936} 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 105855326382936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145215275022720).

105855326382936 is an abundant number, since it is smaller than the sum of its proper divisors (184575223662504).

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

105855326382936 is a wasteful number, since it uses less digits than its factorization.

105855326382936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282577 (or 1282573 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 66.

The spelling of 105855326382936 in words is "one hundred five trillion, eight hundred fifty-five billion, three hundred twenty-six million, three hundred eighty-two thousand, nine hundred thirty-six".