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106016634 = 2332967699
BaseRepresentation
bin1100101000110…
…10111101111010
321101111012111000
412110122331322
5204120013014
614304145430
72425061253
oct624327572
9241435430
10106016634
1154930959
122b608276
1318c6c249
1410119b2a
159492509
hex651af7a

106016634 has 32 divisors (see below), whose sum is σ = 243720000. Its totient is φ = 34119792.

The previous prime is 106016633. The next prime is 106016707. The reversal of 106016634 is 436610601.

106016634 is a `hidden beast` number, since 10 + 6 + 0 + 16 + 634 = 666.

It is a super-2 number, since 2×1060166342 = 22479053369379912, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106016598 and 106016607.

It is not an unprimeable number, because it can be changed into a prime (106016633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32284 + ... + 35415.

It is an arithmetic number, because the mean of its divisors is an integer number (7616250).

Almost surely, 2106016634 is an apocalyptic number.

106016634 is an abundant number, since it is smaller than the sum of its proper divisors (137703366).

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

106016634 is a wasteful number, since it uses less digits than its factorization.

106016634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67739 (or 67733 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106016634 is about 10296.4379277496. The cubic root of 106016634 is about 473.2871033118.

The spelling of 106016634 in words is "one hundred six million, sixteen thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 67699 135398 203097 406194 609291 1218582 1827873 1963271 3655746 3926542 5889813 11779626 17669439 35338878 53008317 106016634