105192343872 has 1176 divisors, whose sum is σ = 410169847680. Its totient is φ = 26440888320.

The previous prime is 105192343859. The next prime is 105192343873. The reversal of 105192343872 is 278343291501.

It is a happy number.

105192343872 is a `hidden beast` number, since 1 + 0 + 519 + 2 + 34 + 38 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×105192343872² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105192343873) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 1181936404 + ... + 1181936492.

Almost surely, 2^105192343872 is an apocalyptic number.

105192343872 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 105192343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205084923840).

105192343872 is an abundant number, since it is smaller than the sum of its proper divisors (304977503808).

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

105192343872 is an equidigital number, since it uses as much as digits as its factorization.

105192343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 105192343872 in words is "one hundred five billion, one hundred ninety-two million, three hundred forty-three thousand, eight hundred seventy-two".