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106906030 = 25711178167
BaseRepresentation
bin1100101111101…
…00000110101110
321110011101111121
412113310012232
5204331443110
614335211154
72435454250
oct627640656
9243141447
10106906030
11553890a0
122b976aba
13191c100a
14102abcd0
1595bacda
hex65f41ae

106906030 has 64 divisors (see below), whose sum is σ = 254057472. Its totient is φ = 31357440.

The previous prime is 106906003. The next prime is 106906043. The reversal of 106906030 is 30609601.

It is a super-2 number, since 2×1069060302 = 22857798500721800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106905986 and 106906004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9007 + ... + 17173.

It is an arithmetic number, because the mean of its divisors is an integer number (3969648).

Almost surely, 2106906030 is an apocalyptic number.

106906030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106906030 is an abundant number, since it is smaller than the sum of its proper divisors (147151442).

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

106906030 is a wasteful number, since it uses less digits than its factorization.

106906030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8209.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 106906030 is about 10339.5372236866. The cubic root of 106906030 is about 474.6069213412.

The spelling of 106906030 in words is "one hundred six million, nine hundred six thousand, thirty".

Divisors: 1 2 5 7 10 11 14 17 22 34 35 55 70 77 85 110 119 154 170 187 238 374 385 595 770 935 1190 1309 1870 2618 6545 8167 13090 16334 40835 57169 81670 89837 114338 138839 179674 277678 285845 449185 571690 628859 694195 898370 971873 1257718 1388390 1527229 1943746 3054458 3144295 4859365 6288590 7636145 9718730 10690603 15272290 21381206 53453015 106906030