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106500537 = 32111383997
BaseRepresentation
bin1100101100100…
…01000110111001
321102101210021100
412112101012321
5204231004122
614322402013
72432145123
oct626210671
9242353240
10106500537
1155131480
122b800309
13190ab590
1410204213
15953aaac
hex65911b9

106500537 has 48 divisors (see below), whose sum is σ = 183089088. Its totient is φ = 58803840.

The previous prime is 106500533. The next prime is 106500539. The reversal of 106500537 is 735005601.

106500537 is a `hidden beast` number, since 1 + 0 + 650 + 0 + 5 + 3 + 7 = 666.

It is not a de Polignac number, because 106500537 - 22 = 106500533 is a prime.

It is a super-2 number, since 2×1065005372 = 22684728762576738, 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 106500537.

It is not an unprimeable number, because it can be changed into a prime (106500533) 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 47 ways as a sum of consecutive naturals, for example, 106323 + ... + 107319.

It is an arithmetic number, because the mean of its divisors is an integer number (3814356).

Almost surely, 2106500537 is an apocalyptic number.

It is an amenable number.

106500537 is a deficient number, since it is larger than the sum of its proper divisors (76588551).

106500537 is a wasteful number, since it uses less digits than its factorization.

106500537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 106500537 is about 10319.9097379774. The cubic root of 106500537 is about 474.0061020418.

The spelling of 106500537 in words is "one hundred six million, five hundred thousand, five hundred thirty-seven".

Divisors: 1 3 9 11 13 33 39 83 99 117 143 249 429 747 913 997 1079 1287 2739 2991 3237 8217 8973 9711 10967 11869 12961 32901 35607 38883 82751 98703 106821 116649 142571 248253 427713 744759 910261 1075763 1283139 2730783 3227289 8192349 9681867 11833393 35500179 106500537