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106130544 = 24313170081
BaseRepresentation
bin1100101001101…
…10110001110000
321101200222201220
412110312301300
5204132134134
614310425040
72426044332
oct624666160
9241628656
10106130544
11549a94a3
122b662180
1318cac050
1410149452
1594b6149
hex6536c70

106130544 has 40 divisors (see below), whose sum is σ = 295262352. Its totient is φ = 32655360.

The previous prime is 106130543. The next prime is 106130573. The reversal of 106130544 is 445031601.

It is a super-2 number, since 2×1061305442 = 22527384739471872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106130543) 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 7 ways as a sum of consecutive naturals, for example, 84417 + ... + 85664.

Almost surely, 2106130544 is an apocalyptic number.

It is an amenable number.

106130544 is an abundant number, since it is smaller than the sum of its proper divisors (189131808).

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

106130544 is a wasteful number, since it uses less digits than its factorization.

106130544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170105 (or 170099 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106130544 is about 10301.9679673352. The cubic root of 106130544 is about 473.4565510507.

The spelling of 106130544 in words is "one hundred six million, one hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 170081 340162 510243 680324 1020486 1360648 2040972 2211053 2721296 4081944 4422106 6633159 8163888 8844212 13266318 17688424 26532636 35376848 53065272 106130544