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106831936 = 261669249
BaseRepresentation
bin1100101111000…
…10000001000000
321110000121212101
412113202001000
5204322110221
614333440144
72435025241
oct627420100
9243017771
10106831936
1155338462
122b940054
1319196383
141028ccc8
1595a3d91
hex65e2040

106831936 has 14 divisors (see below), whose sum is σ = 211994750. Its totient is φ = 53415936.

The previous prime is 106831919. The next prime is 106831939. The reversal of 106831936 is 639138601.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 40246336 = 8160^2 + 6344^2 .

It is a super-2 number, since 2×1068319362 = 22826125099016192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106831895 and 106831904.

It is not an unprimeable number, because it can be changed into a prime (106831939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 834561 + ... + 834688.

Almost surely, 2106831936 is an apocalyptic number.

106831936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106831936 is a deficient number, since it is larger than the sum of its proper divisors (105162814).

106831936 is an equidigital number, since it uses as much as digits as its factorization.

106831936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669261 (or 1669251 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 106831936 is about 10335.9535602672. The cubic root of 106831936 is about 474.4972497835.

The spelling of 106831936 in words is "one hundred six million, eight hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 1669249 3338498 6676996 13353992 26707984 53415968 106831936