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106118424 = 2334295647
BaseRepresentation
bin1100101001100…
…11110100011000
321101200101010000
412110303310120
5204131242144
614310253000
72425664106
oct624636430
9241611100
10106118424
11549a0385
122b657160
1318ca6689
1410144c76
1594b2769
hex6533d18

106118424 has 80 divisors (see below), whose sum is σ = 307533600. Its totient is φ = 34147008.

The previous prime is 106118399. The next prime is 106118429. The reversal of 106118424 is 424811601.

It is a happy number.

106118424 is a `hidden beast` number, since 1 + 0 + 611 + 8 + 42 + 4 = 666.

It is a super-2 number, since 2×1061184242 = 22522239824487552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106118429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15969 + ... + 21615.

It is an arithmetic number, because the mean of its divisors is an integer number (3844170).

Almost surely, 2106118424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106118424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153766800).

106118424 is an abundant number, since it is smaller than the sum of its proper divisors (201415176).

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

106118424 is a wasteful number, since it uses less digits than its factorization.

106118424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106118424 is about 10301.3797134170. The cubic root of 106118424 is about 473.4385276127.

It can be divided in two parts, 1061184 and 24, that added together give a cube (1061208 = 1023).

The spelling of 106118424 in words is "one hundred six million, one hundred eighteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 5647 6264 9396 11294 16941 18792 22588 33882 45176 50823 67764 101646 135528 152469 163763 203292 304938 327526 406584 457407 491289 609876 655052 914814 982578 1219752 1310104 1473867 1829628 1965156 2947734 3659256 3930312 4421601 5895468 8843202 11790936 13264803 17686404 26529606 35372808 53059212 106118424