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105438344 = 231110111863
BaseRepresentation
bin1100100100011…
…01110010001000
321100101211012212
412102031302020
5203443011334
614243524252
72420132264
oct622156210
9240354185
10105438344
1154576430
122b389688
1318ac8c6b
14100090a4
1593caece
hex648dc88

105438344 has 32 divisors (see below), whose sum is σ = 217823040. Its totient is φ = 47448000.

The previous prime is 105438331. The next prime is 105438349. The reversal of 105438344 is 443834501.

It is a super-2 number, since 2×1054383442 = 22234488770924672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105438344.

It is not an unprimeable number, because it can be changed into a prime (105438349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2957 + ... + 14819.

It is an arithmetic number, because the mean of its divisors is an integer number (6806970).

Almost surely, 2105438344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105438344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108911520).

105438344 is an abundant number, since it is smaller than the sum of its proper divisors (112384696).

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

105438344 is a wasteful number, since it uses less digits than its factorization.

105438344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11981 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 105438344 is about 10268.3174863266. The cubic root of 105438344 is about 472.4249858985.

The spelling of 105438344 in words is "one hundred five million, four hundred thirty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 11863 23726 47452 94904 130493 260986 521972 1043944 1198163 2396326 4792652 9585304 13179793 26359586 52719172 105438344