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106602561 = 3413671511
BaseRepresentation
bin1100101101010…
…10000001000001
321102120222020000
412112222001001
5204242240221
614324510213
72433051432
oct626520101
9242528200
10106602561
11551a109a
122b84b369
1319115b50
141022d489
15955ae26
hex65aa041

106602561 has 40 divisors (see below), whose sum is σ = 174170304. Its totient is φ = 64579680.

The previous prime is 106602541. The next prime is 106602569. The reversal of 106602561 is 165206601.

It is a happy number.

106602561 is a `hidden beast` number, since 1 + 0 + 6 + 602 + 56 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-106602561 is a prime.

It is a super-2 number, since 2×1066025612 = 22728212023517442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106602569) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69796 + ... + 71306.

Almost surely, 2106602561 is an apocalyptic number.

It is an amenable number.

106602561 is a deficient number, since it is larger than the sum of its proper divisors (67567743).

106602561 is a wasteful number, since it uses less digits than its factorization.

106602561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106602561 is about 10324.8516212099. The cubic root of 106602561 is about 474.1574144693.

The spelling of 106602561 in words is "one hundred six million, six hundred two thousand, five hundred sixty-one".

Divisors: 1 3 9 13 27 39 67 81 117 201 351 603 871 1053 1511 1809 2613 4533 5427 7839 13599 19643 23517 40797 58929 70551 101237 122391 176787 303711 530361 911133 1316081 1591083 2733399 3948243 8200197 11844729 35534187 106602561