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106527474 = 2341747823
BaseRepresentation
bin1100101100101…
…11101011110010
321102110011020000
412112113223302
5204232334344
614323130430
72432316504
oct626275362
9242404200
10106527474
115514a739
122b813a16
13190ba911
141020dd74
159543a69
hex6597af2

106527474 has 80 divisors (see below), whose sum is σ = 258432768. Its totient is φ = 32669568.

The previous prime is 106527451. The next prime is 106527511. The reversal of 106527474 is 474725601.

It is a super-2 number, since 2×1065274742 = 22696205433641352, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129027 + ... + 129849.

Almost surely, 2106527474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106527474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129216384).

106527474 is an abundant number, since it is smaller than the sum of its proper divisors (151905294).

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

106527474 is a wasteful number, since it uses less digits than its factorization.

106527474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 106527474 is about 10321.2147540878. The cubic root of 106527474 is about 474.0460618592.

The spelling of 106527474 in words is "one hundred six million, five hundred twenty-seven thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 81 94 102 141 153 162 282 306 423 459 799 823 846 918 1269 1377 1598 1646 2397 2469 2538 2754 3807 4794 4938 7191 7407 7614 13991 14382 14814 21573 22221 27982 38681 41973 43146 44442 64719 66663 77362 83946 116043 125919 129438 133326 232086 251838 348129 377757 657577 696258 755514 1044387 1133271 1315154 1972731 2088774 2266542 3133161 3945462 5918193 6266322 11836386 17754579 35509158 53263737 106527474