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105192 = 2333487
BaseRepresentation
bin11001101011101000
312100022000
4121223220
511331232
62131000
7615453
oct315350
9170260
10105192
117203a
1250a60
1338b59
142a49a
152127c
hex19ae8

105192 has 32 divisors (see below), whose sum is σ = 292800. Its totient is φ = 34992.

The previous prime is 105173. The next prime is 105199. The reversal of 105192 is 291501.

It is a super-2 number, since 2×1051922 = 22130713728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (9150).

2105192 is an apocalyptic number.

105192 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 105192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146400).

105192 is an abundant number, since it is smaller than the sum of its proper divisors (187608).

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

105192 is a wasteful number, since it uses less digits than its factorization.

105192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 105192 is about 324.3331620417. Note that the first 3 decimals coincide. The cubic root of 105192 is about 47.2056777619.

Adding to 105192 its reverse (291501), we get a palindrome (396693).

The spelling of 105192 in words is "one hundred five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 487 974 1461 1948 2922 3896 4383 5844 8766 11688 13149 17532 26298 35064 52596 105192