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106092 = 22327421
BaseRepresentation
bin11001111001101100
312101112100
4121321230
511343332
62135100
7621210
oct317154
9171470
10106092
1172788
1251490
133939c
142a940
152167c
hex19e6c

106092 has 36 divisors (see below), whose sum is σ = 307216. Its totient is φ = 30240.

The previous prime is 106087. The next prime is 106103. The reversal of 106092 is 290601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1060922 = 22511024928, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106092.

It is an unprimeable number.

106092 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 462.

2106092 is an apocalyptic number.

106092 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 106092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153608).

106092 is an abundant number, since it is smaller than the sum of its proper divisors (201124).

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

106092 is a wasteful number, since it uses less digits than its factorization.

106092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106092 is about 325.7176691554. The cubic root of 106092 is about 47.3399228191.

Adding to 106092 its reverse (290601), we get a palindrome (396693).

The spelling of 106092 in words is "one hundred six thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 421 842 1263 1684 2526 2947 3789 5052 5894 7578 8841 11788 15156 17682 26523 35364 53046 106092