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106612542 = 23217348407
BaseRepresentation
bin1100101101011…
…00011100111110
321102121110220200
412112230130332
5204243100132
614325024330
72433122511
oct626543476
9242543820
10106612542
11551a8643
122b8550a6
131911a55a
1410232d78
15955dd7c
hex65ac73e

106612542 has 24 divisors (see below), whose sum is σ = 244582416. Its totient is φ = 33446976.

The previous prime is 106612531. The next prime is 106612543. The reversal of 106612542 is 245216601.

106612542 is a `hidden beast` number, since 1 + 0 + 6 + 612 + 5 + 42 = 666.

It is a super-2 number, since 2×1066125422 = 22732468223403528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106612543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173898 + ... + 174509.

It is an arithmetic number, because the mean of its divisors is an integer number (10190934).

Almost surely, 2106612542 is an apocalyptic number.

106612542 is an abundant number, since it is smaller than the sum of its proper divisors (137969874).

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

106612542 is a wasteful number, since it uses less digits than its factorization.

106612542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348432 (or 348429 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106612542 is about 10325.3349582471. The cubic root of 106612542 is about 474.1722121671.

It can be divided in two parts, 10661 and 2542, that added together give a triangular number (13203 = T162).

The spelling of 106612542 in words is "one hundred six million, six hundred twelve thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 348407 696814 1045221 2090442 3135663 5922919 6271326 11845838 17768757 35537514 53306271 106612542