105832254178420 has 384 divisors, whose sum is σ = 285087480975360. Its totient is φ = 32049209364480.

The previous prime is 105832254178379. The next prime is 105832254178423. The reversal of 105832254178420 is 24871452238501.

It is a super-2 number, since 2×105832254178420² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105832254178423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5283940966 + ... + 5283960994.

It is an arithmetic number, because the mean of its divisors is an integer number (742415315040).

Almost surely, 2^{105832254178420} is an apocalyptic number.

105832254178420 is a gapful number since it is divisible by the number (10) 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 105832254178420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142543740487680).

105832254178420 is an abundant number, since it is smaller than the sum of its proper divisors (179255226796940).

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

105832254178420 is a wasteful number, since it uses less digits than its factorization.

105832254178420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20823 (or 20821 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 52.

The spelling of 105832254178420 in words is "one hundred five trillion, eight hundred thirty-two billion, two hundred fifty-four million, one hundred seventy-eight thousand, four hundred twenty".