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105294 = 23723109
BaseRepresentation
bin11001101101001110
312100102210
4121231032
511332134
62131250
7615660
oct315516
9170383
10105294
1172122
1250b26
1338c07
142a530
15212e9
hex19b4e

105294 has 32 divisors (see below), whose sum is σ = 253440. Its totient is φ = 28512.

The previous prime is 105277. The next prime is 105319. The reversal of 105294 is 492501.

It is a super-2 number, since 2×1052942 = 22173652872, which contains 22 as substring.

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

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105294.

It is a congruent number.

It is an unprimeable number.

105294 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 15 ways as a sum of consecutive naturals, for example, 912 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2105294 is an apocalyptic number.

105294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126720).

105294 is an abundant number, since it is smaller than the sum of its proper divisors (148146).

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

105294 is a wasteful number, since it uses less digits than its factorization.

105294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105294 is about 324.4903696568. The cubic root of 105294 is about 47.2209305811.

Adding to 105294 its reverse (492501), we get a palindrome (597795).

The spelling of 105294 in words is "one hundred five thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 109 138 161 218 322 327 483 654 763 966 1526 2289 2507 4578 5014 7521 15042 17549 35098 52647 105294