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2105443368 = 23357223312
BaseRepresentation
bin111110101111110…
…1000010000101000
312102201202121100000
41331133220100220
513302443141433
6544530543000
7103113654600
oct17537502050
95381677300
102105443368
11990516846
124a9137a60
132772756a2
1415d8a5c00
15c4c90113
hex7d7e8428

2105443368 has 432 divisors, whose sum is σ = 7416995040. Its totient is φ = 556839360.

The previous prime is 2105443367. The next prime is 2105443393. The reversal of 2105443368 is 8633445012.

2105443368 is a `hidden beast` number, since 21 + 0 + 544 + 33 + 68 = 666.

2105443368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105443367) 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, 67917513 + ... + 67917543.

It is an arithmetic number, because the mean of its divisors is an integer number (17168970).

Almost surely, 22105443368 is an apocalyptic number.

2105443368 is a gapful number since it is divisible by the number (28) 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 2105443368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708497520).

2105443368 is an abundant number, since it is smaller than the sum of its proper divisors (5311551672).

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

2105443368 is a wasteful number, since it uses less digits than its factorization.

2105443368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2105443368 is about 45885.1105261827. The cubic root of 2105443368 is about 1281.6846649029.

The spelling of 2105443368 in words is "two billion, one hundred five million, four hundred forty-three thousand, three hundred sixty-eight".