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106356 = 2238863
BaseRepresentation
bin11001111101110100
312101220010
4121331310
511400411
62140220
7622035
oct317564
9171803
10106356
11729a8
1251670
1339543
142aa8c
15217a6
hex19f74

106356 has 12 divisors (see below), whose sum is σ = 248192. Its totient is φ = 35448.

The previous prime is 106349. The next prime is 106357. The reversal of 106356 is 653601.

106356 is nontrivially palindromic in base 5.

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

It is a super-2 number, since 2×1063562 = 22623197472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4420 + ... + 4443.

2106356 is an apocalyptic number.

It is an amenable number.

106356 is an abundant number, since it is smaller than the sum of its proper divisors (141836).

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

106356 is a wasteful number, since it uses less digits than its factorization.

106356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106356 is about 326.1226763045. The cubic root of 106356 is about 47.3791572805.

Adding to 106356 its reverse (653601), we get a palindrome (759957).

The spelling of 106356 in words is "one hundred six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 8863 17726 26589 35452 53178 106356