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106849071 = 3371135003
BaseRepresentation
bin1100101111001…
…10001100101111
321110001111101000
412113212030233
5204323132241
614334051343
72435126220
oct627461457
9243044330
10106849071
115534a31a
122b949b53
13191a1104
1410295247
1595a8eb6
hex65e632f

106849071 has 32 divisors (see below), whose sum is σ = 182545920. Its totient is φ = 60504192.

The previous prime is 106849051. The next prime is 106849073. The reversal of 106849071 is 170948601.

It is not a de Polignac number, because 106849071 - 29 = 106848559 is a prime.

It is a super-2 number, since 2×1068490712 = 22833447947126082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106849073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18856 + ... + 23858.

It is an arithmetic number, because the mean of its divisors is an integer number (5704560).

Almost surely, 2106849071 is an apocalyptic number.

106849071 is a deficient number, since it is larger than the sum of its proper divisors (75696849).

106849071 is a wasteful number, since it uses less digits than its factorization.

106849071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106849071 is about 10336.7824297506. The cubic root of 106849071 is about 474.5226169663.

The spelling of 106849071 in words is "one hundred six million, eight hundred forty-nine thousand, seventy-one".

Divisors: 1 3 7 9 21 27 63 113 189 339 791 1017 2373 3051 5003 7119 15009 21357 35021 45027 105063 135081 315189 565339 945567 1696017 3957373 5088051 11872119 15264153 35616357 106849071