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105134232 = 23376110259
BaseRepresentation
bin1100100010000…
…11100010011000
321022211101001110
412101003202120
5203403243412
614233220320
72414424540
oct621034230
9238741043
10105134232
11543889a5
122b2616a0
1318a20708
14dd6a320
15936ad3c
hex6443898

105134232 has 64 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 29543040.

The previous prime is 105134207. The next prime is 105134243. The reversal of 105134232 is 232431501.

It is a super-2 number, since 2×1051342322 = 22106413476459648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 105134199 and 105134208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5119 + ... + 15377.

It is an arithmetic number, because the mean of its divisors is an integer number (4770900).

Almost surely, 2105134232 is an apocalyptic number.

105134232 is a gapful number since it is divisible by the number (12) 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 105134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

105134232 is an abundant number, since it is smaller than the sum of its proper divisors (200203368).

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

105134232 is a wasteful number, since it uses less digits than its factorization.

105134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105134232 is about 10253.4985248938. The cubic root of 105134232 is about 471.9703490902.

Adding to 105134232 its reverse (232431501), we get a palindrome (337565733).

The spelling of 105134232 in words is "one hundred five million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 10259 20518 30777 41036 61554 71813 82072 123108 143626 215439 246216 287252 430878 574504 625799 861756 1251598 1723512 1877397 2503196 3754794 4380593 5006392 7509588 8761186 13141779 15019176 17522372 26283558 35044744 52567116 105134232