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105050344 = 2371726491
BaseRepresentation
bin1100100001011…
…11000011101000
321022200002222111
412100233003220
5203343102334
614231332104
72413625140
oct620570350
9238602874
10105050344
1154330973
122b221034
13189c1489
14dd47920
159351064
hex642f0e8

105050344 has 48 divisors (see below), whose sum is σ = 239165280. Its totient is φ = 42366720.

The previous prime is 105050339. The next prime is 105050347. The reversal of 105050344 is 443050501.

It is a super-2 number, since 2×1050503442 = 22071149549036672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105050347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12939 + ... + 19429.

It is an arithmetic number, because the mean of its divisors is an integer number (4982610).

Almost surely, 2105050344 is an apocalyptic number.

105050344 is a gapful number since it is divisible by the number (14) 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 105050344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119582640).

105050344 is an abundant number, since it is smaller than the sum of its proper divisors (134114936).

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

105050344 is a wasteful number, since it uses less digits than its factorization.

105050344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 105050344 is about 10249.4070072371. The cubic root of 105050344 is about 471.8447852180.

The spelling of 105050344 in words is "one hundred five million, fifty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 952 1156 2023 2312 4046 6491 8092 12982 16184 25964 45437 51928 90874 110347 181748 220694 363496 441388 772429 882776 1544858 1875899 3089716 3751798 6179432 7503596 13131293 15007192 26262586 52525172 105050344