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105132 = 2238761
BaseRepresentation
bin11001101010101100
312100012210
4121222230
511331012
62130420
7615336
oct315254
9170183
10105132
1171a95
1250a10
1338b11
142a456
152123c
hex19aac

105132 has 12 divisors (see below), whose sum is σ = 245336. Its totient is φ = 35040.

The previous prime is 105107. The next prime is 105137. The reversal of 105132 is 231501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1051322 = 22105474848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8761 = 105132 / (1 + 0 + 5 + 1 + 3 + 2).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (105137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4369 + ... + 4392.

2105132 is an apocalyptic number.

105132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105132 is an abundant number, since it is smaller than the sum of its proper divisors (140204).

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

105132 is a wasteful number, since it uses less digits than its factorization.

105132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105132 is about 324.2406513687. The cubic root of 105132 is about 47.1967009089.

Adding to 105132 its reverse (231501), we get a palindrome (336633).

The spelling of 105132 in words is "one hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 8761 17522 26283 35044 52566 105132