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106181536 = 253318173
BaseRepresentation
bin1100101010000…
…11001110100000
321101210120200111
412111003032200
5204140302121
614311501104
72426346106
oct625031640
9241716614
10106181536
1154a3383a
122b687794
1318cc9316
141015dc76
1594c62e1
hex65433a0

106181536 has 12 divisors (see below), whose sum is σ = 209044962. Its totient is φ = 53090752.

The previous prime is 106181531. The next prime is 106181549. The reversal of 106181536 is 635181601.

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 913936 = 10260^2 + 956^2 .

It is a super-2 number, since 2×1061815362 = 22549037174638592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106181498 and 106181507.

It is not an unprimeable number, because it can be changed into a prime (106181531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1659055 + ... + 1659118.

Almost surely, 2106181536 is an apocalyptic number.

106181536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106181536 is a deficient number, since it is larger than the sum of its proper divisors (102863426).

106181536 is an equidigital number, since it uses as much as digits as its factorization.

106181536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318183 (or 3318175 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 106181536 is about 10304.4425370808. The cubic root of 106181536 is about 473.5323653264.

The spelling of 106181536 in words is "one hundred six million, one hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 3318173 6636346 13272692 26545384 53090768 106181536