105243192078336 has 1248 divisors, whose sum is σ = 366602227992000. Its totient is φ = 28737810726912.

The previous prime is 105243192078253. The next prime is 105243192078359. The reversal of 105243192078336 is 633870291342501.

105243192078336 is a `hidden beast` number, since 1 + 0 + 52 + 4 + 3 + 192 + 0 + 78 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×105243192078336² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35447351860 + ... + 35447354828.

It is an arithmetic number, because the mean of its divisors is an integer number (293751785250).

It is a 1-persistent number, because it is pandigital, but 2⋅105243192078336 = 210486384156672 is not.

Almost surely, 2^{105243192078336} is an apocalyptic number.

105243192078336 is a gapful number since it is divisible by the number (16) 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 105243192078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183301113996000).

105243192078336 is an abundant number, since it is smaller than the sum of its proper divisors (261359035913664).

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

105243192078336 is a wasteful number, since it uses less digits than its factorization.

105243192078336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 105243192078336 in words is "one hundred five trillion, two hundred forty-three billion, one hundred ninety-two million, seventy-eight thousand, three hundred thirty-six".