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105531342 = 23717612423
BaseRepresentation
bin1100100101001…
…00011111001110
321100120112210020
412102210133032
5204004000332
614245523010
72421000360
oct622443716
9240515706
10105531342
115462a294
122b413466
1318b2c3a7
1410030d30
1593e882c
hex64a47ce

105531342 has 64 divisors (see below), whose sum is σ = 259697664. Its totient is φ = 27901440.

The previous prime is 105531329. The next prime is 105531379. The reversal of 105531342 is 243135501.

It is a super-2 number, since 2×1055313422 = 22273728288641928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42343 + ... + 44765.

It is an arithmetic number, because the mean of its divisors is an integer number (4057776).

Almost surely, 2105531342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105531342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129848832).

105531342 is an abundant number, since it is smaller than the sum of its proper divisors (154166322).

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

105531342 is a wasteful number, since it uses less digits than its factorization.

105531342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105531342 is about 10272.8448834780. The cubic root of 105531342 is about 472.5638400905.

Adding to 105531342 its reverse (243135501), we get a palindrome (348666843).

The spelling of 105531342 in words is "one hundred five million, five hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 61 102 119 122 183 238 357 366 427 714 854 1037 1281 2074 2423 2562 3111 4846 6222 7259 7269 14518 14538 16961 21777 33922 41191 43554 50883 82382 101766 123573 147803 247146 288337 295606 443409 576674 865011 886818 1034621 1730022 2069242 2512651 3103863 5025302 6207726 7537953 15075906 17588557 35177114 52765671 105531342