105852644352 has 1188 divisors, whose sum is σ = 410817424680. Its totient is φ = 26085556224.

The previous prime is 105852644327. The next prime is 105852644353. The reversal of 105852644352 is 253446258501.

105852644352 is a `hidden beast` number, since 1 + 0 + 58 + 526 + 44 + 35 + 2 = 666.

It is a super-2 number, since 2×105852644352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105852644298 and 105852644307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105852644353) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1450036188 + ... + 1450036260.

Almost surely, 2^105852644352 is an apocalyptic number.

105852644352 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 105852644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205408712340).

105852644352 is an abundant number, since it is smaller than the sum of its proper divisors (304964780328).

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

105852644352 is a wasteful number, since it uses less digits than its factorization.

105852644352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 105852644352 in words is "one hundred five billion, eight hundred fifty-two million, six hundred forty-four thousand, three hundred fifty-two".