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105792 = 2631929
BaseRepresentation
bin11001110101000000
312101010020
4121311000
511341132
62133440
7620301
oct316500
9171106
10105792
1172535
1251280
13391cb
142a7a8
152152c
hex19d40

105792 has 56 divisors (see below), whose sum is σ = 304800. Its totient is φ = 32256.

The previous prime is 105769. The next prime is 105817. The reversal of 105792 is 297501.

It is a super-2 number, since 2×1057922 = 22383894528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105792.

It is an unprimeable number.

105792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3634 + ... + 3662.

2105792 is an apocalyptic number.

105792 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 105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152400).

105792 is an abundant number, since it is smaller than the sum of its proper divisors (199008).

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

105792 is a wasteful number, since it uses less digits than its factorization.

105792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 105792 is about 325.2568216041. The cubic root of 105792 is about 47.2952591172.

The spelling of 105792 in words is "one hundred five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 152 174 192 228 232 304 348 456 464 551 608 696 912 928 1102 1216 1392 1653 1824 1856 2204 2784 3306 3648 4408 5568 6612 8816 13224 17632 26448 35264 52896 105792