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105344450505 = 3357261713677
BaseRepresentation
bin110001000011100000…
…1001011111111001001
3101001220122011120002000
41202013001023333021
53211221134404010
6120221121101213
710416351024600
oct1420701137711
9331818146060
10105344450505
1140749217948
12184bb787809
139c1ab305a8
145154b86a37
152b185307c0
hex188704bfc9

105344450505 has 192 divisors, whose sum is σ = 224606338560. Its totient is φ = 46688140800.

The previous prime is 105344450483. The next prime is 105344450521. The reversal of 105344450505 is 505054443501.

105344450505 is a `hidden beast` number, since 10 + 53 + 4 + 44 + 50 + 505 = 666.

It is not a de Polignac number, because 105344450505 - 26 = 105344450441 is a prime.

It is a super-2 number, since 2×1053444505052 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105344450505.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28647727 + ... + 28651403.

It is an arithmetic number, because the mean of its divisors is an integer number (1169824680).

Almost surely, 2105344450505 is an apocalyptic number.

105344450505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105344450505 is an abundant number, since it is smaller than the sum of its proper divisors (119261888055).

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

105344450505 is a wasteful number, since it uses less digits than its factorization.

105344450505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 105344450505 in words is "one hundred five billion, three hundred forty-four million, four hundred fifty thousand, five hundred five".