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106123290 = 23571338873
BaseRepresentation
bin1100101001101…
…01000000011010
321101200121210020
412110311000122
5204131421130
614310331310
72426014230
oct624650032
9241617706
10106123290
11549a3aa9
122b659b36
1318ca8960
1410146950
1594b3e10
hex653501a

106123290 has 64 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 22390272.

The previous prime is 106123249. The next prime is 106123291. The reversal of 106123290 is 92321601.

It is a super-2 number, since 2×1061232902 = 22524305360848200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106123290.

It is not an unprimeable number, because it can be changed into a prime (106123291) 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 31 ways as a sum of consecutive naturals, for example, 16707 + ... + 22166.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2106123290 is an apocalyptic number.

106123290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106123290 is an abundant number, since it is smaller than the sum of its proper divisors (207356646).

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

106123290 is a wasteful number, since it uses less digits than its factorization.

106123290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38903.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106123290 is about 10301.6158926646. The cubic root of 106123290 is about 473.4457639203.

Adding to 106123290 its reverse (92321601), we get a palindrome (198444891).

The spelling of 106123290 in words is "one hundred six million, one hundred twenty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 38873 77746 116619 194365 233238 272111 388730 505349 544222 583095 816333 1010698 1166190 1360555 1516047 1632666 2526745 2721110 3032094 3537443 4081665 5053490 7074886 7580235 8163330 10612329 15160470 17687215 21224658 35374430 53061645 106123290