105206355072 has 384 divisors, whose sum is σ = 374054204160. Its totient is φ = 27638931456.

The previous prime is 105206355047. The next prime is 105206355139. The reversal of 105206355072 is 270553602501.

105206355072 is a `hidden beast` number, since 1 + 0 + 520 + 63 + 5 + 5 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105206355072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29036653 + ... + 29040275.

It is an arithmetic number, because the mean of its divisors is an integer number (974099490).

Almost surely, 2^105206355072 is an apocalyptic number.

105206355072 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 105206355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187027102080).

105206355072 is an abundant number, since it is smaller than the sum of its proper divisors (268847849088).

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

105206355072 is a wasteful number, since it uses less digits than its factorization.

105206355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Adding to 105206355072 its reverse (270553602501), we get a palindrome (375759957573).

The spelling of 105206355072 in words is "one hundred five billion, two hundred six million, three hundred fifty-five thousand, seventy-two".