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106062201 = 32717167593
BaseRepresentation
bin1100101001001…
…10000101111001
321101120111222200
412110212011321
5204122442301
614305140413
72425341150
oct624460571
9241514880
10106062201
1154962113
122b62a709
1318c86bcb
141012c597
1594a0c86
hex6526179

106062201 has 48 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 56604672.

The previous prime is 106062197. The next prime is 106062217. The reversal of 106062201 is 102260601.

It is a happy number.

It is not a de Polignac number, because 106062201 - 22 = 106062197 is a prime.

It is a super-2 number, since 2×1060622012 = 22498380961928802, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106062401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178561 + ... + 179153.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888).

Almost surely, 2106062201 is an apocalyptic number.

It is an amenable number.

106062201 is a deficient number, since it is larger than the sum of its proper divisors (80748423).

106062201 is a wasteful number, since it uses less digits than its factorization.

106062201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106062201 is about 10298.6504455681. The cubic root of 106062201 is about 473.3549014285.

The spelling of 106062201 in words is "one hundred six million, sixty-two thousand, two hundred one".

Divisors: 1 3 7 9 17 21 51 63 119 153 167 357 501 593 1071 1169 1503 1779 2839 3507 4151 5337 8517 10081 10521 12453 19873 25551 30243 37359 59619 70567 90729 99031 178857 211701 297093 635103 693217 891279 1683527 2079651 5050581 6238953 11784689 15151743 35354067 106062201