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106161534 = 23217773319
BaseRepresentation
bin1100101001111…
…10010101111110
321101202120020200
412110332111332
5204134132114
614311224330
72426233563
oct624762576
9241676220
10106161534
1154a1a806
122b6780a6
1318cc019b
141015686a
1594c0409
hex653e57e

106161534 has 24 divisors (see below), whose sum is σ = 230215440. Its totient is φ = 35356608.

The previous prime is 106161529. The next prime is 106161551. The reversal of 106161534 is 435161601.

106161534 is a `hidden beast` number, since 1 + 0 + 616 + 15 + 34 = 666.

It is a super-2 number, since 2×1061615342 = 22540542602466312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106161498 and 106161507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30327 + ... + 33645.

It is an arithmetic number, because the mean of its divisors is an integer number (9592310).

Almost surely, 2106161534 is an apocalyptic number.

106161534 is an abundant number, since it is smaller than the sum of its proper divisors (124053906).

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

106161534 is a wasteful number, since it uses less digits than its factorization.

106161534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5101 counting only the distinct ones).

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

The square root of 106161534 is about 10303.4719391087. The cubic root of 106161534 is about 473.5026294937.

The spelling of 106161534 in words is "one hundred six million, one hundred sixty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 1777 3319 3554 5331 6638 9957 10662 15993 19914 29871 31986 59742 5897863 11795726 17693589 35387178 53080767 106161534