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106466113 = 132629977
BaseRepresentation
bin1100101100010…
…00101101000001
321102100001001101
412112020231001
5204223403423
614321534401
72431642555
oct626105501
9242301041
10106466113
1155108626
122b7a4401
1319098a00
14101d5865
1595307ad
hex6588b41

106466113 has 6 divisors (see below), whose sum is σ = 115285974. Its totient is φ = 98276256.

The previous prime is 106466099. The next prime is 106466119. The reversal of 106466113 is 311664601.

It can be written as a sum of positive squares in 3 ways, for example, as 1034289 + 105431824 = 1017^2 + 10268^2 .

It is not a de Polignac number, because 106466113 - 221 = 104368961 is a prime.

It is a super-2 number, since 2×1064661132 = 22670066434657538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106466119) 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 in 5 ways as a sum of consecutive naturals, for example, 314820 + ... + 315157.

It is an arithmetic number, because the mean of its divisors is an integer number (19214329).

Almost surely, 2106466113 is an apocalyptic number.

106466113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106466113 is a deficient number, since it is larger than the sum of its proper divisors (8819861).

106466113 is an equidigital number, since it uses as much as digits as its factorization.

106466113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630003 (or 629990 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 106466113 is about 10318.2417591371. The cubic root of 106466113 is about 473.9550257910.

The spelling of 106466113 in words is "one hundred six million, four hundred sixty-six thousand, one hundred thirteen".

Divisors: 1 13 169 629977 8189701 106466113