105999812313192 has 384 divisors, whose sum is σ = 346063850496000. Its totient is φ = 28633499481600.

The previous prime is 105999812313133. The next prime is 105999812313193. The reversal of 105999812313192 is 291313218999501.

105999812313192 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 9 + 9 + 81 + 231 + 319 + 2 = 666.

It is a super-2 number, since 2×105999812313192² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (105999812313193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10751573559 + ... + 10751583417.

It is an arithmetic number, because the mean of its divisors is an integer number (901207944000).

Almost surely, 2^{105999812313192} is an apocalyptic number.

105999812313192 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 105999812313192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173031925248000).

105999812313192 is an abundant number, since it is smaller than the sum of its proper divisors (240064038182808).

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

105999812313192 is a wasteful number, since it uses less digits than its factorization.

105999812313192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12061 (or 12054 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 105999812313192 in words is "one hundred five trillion, nine hundred ninety-nine billion, eight hundred twelve million, three hundred thirteen thousand, one hundred ninety-two".