105122937858048 has 576 divisors, whose sum is σ = 351696473856000. Its totient is φ = 29896306851840.

The previous prime is 105122937858017. The next prime is 105122937858049. The reversal of 105122937858048 is 840858739221501.

105122937858048 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 2 + 2 + 9 + 3 + 7 + 8 + 580 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×105122937858048² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105122937858049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1216671553 + ... + 1216757951.

It is an arithmetic number, because the mean of its divisors is an integer number (610584156000).

Almost surely, 2^{105122937858048} is an apocalyptic number.

105122937858048 is a gapful number since it is divisible by the number (18) 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 105122937858048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175848236928000).

105122937858048 is an abundant number, since it is smaller than the sum of its proper divisors (246573535997952).

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

105122937858048 is a wasteful number, since it uses less digits than its factorization.

105122937858048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86808 (or 86785 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 105122937858048 in words is "one hundred five trillion, one hundred twenty-two billion, nine hundred thirty-seven million, eight hundred fifty-eight thousand, forty-eight".