105998941176372 has 240 divisors, whose sum is σ = 299951999424000. Its totient is φ = 32555072309760.

The previous prime is 105998941176343. The next prime is 105998941176439. The reversal of 105998941176372 is 273671149899501.

105998941176372 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 9 + 89 + 4 + 1 + 176 + 372 = 666.

It is a super-2 number, since 2×105998941176372² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105998941176372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21941254 + ... + 26332802.

It is an arithmetic number, because the mean of its divisors is an integer number (1249799997600).

It is a 1-persistent number, because it is pandigital, but 2⋅105998941176372 = 211997882352744 is not.

Almost surely, 2^{105998941176372} is an apocalyptic number.

105998941176372 is a gapful number since it is divisible by the number (12) 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 105998941176372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149975999712000).

105998941176372 is an abundant number, since it is smaller than the sum of its proper divisors (193953058247628).

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

105998941176372 is a wasteful number, since it uses less digits than its factorization.

105998941176372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391708 (or 4391697 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 105998941176372 in words is "one hundred five trillion, nine hundred ninety-eight billion, nine hundred forty-one million, one hundred seventy-six thousand, three hundred seventy-two".