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106217101 = 419192819
BaseRepresentation
bin1100101010010…
…11111010001101
321101212101110201
412111023322031
5204142421401
614312333501
72426554564
oct625137215
9241771421
10106217101
1154a58531
122b6a4291
131900c573
141016cbdb
1594d1b01
hex654be8d

106217101 has 8 divisors (see below), whose sum is σ = 108964800. Its totient is φ = 103476960.

The previous prime is 106217099. The next prime is 106217107. The reversal of 106217101 is 101712601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106217101 - 21 = 106217099 is a prime.

It is a super-2 number, since 2×1062171012 = 22564145089688402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106217107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36270 + ... + 39088.

It is an arithmetic number, because the mean of its divisors is an integer number (13620600).

Almost surely, 2106217101 is an apocalyptic number.

It is an amenable number.

106217101 is a deficient number, since it is larger than the sum of its proper divisors (2747699).

106217101 is an equidigital number, since it uses as much as digits as its factorization.

106217101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 106217101 is about 10306.1681045867. The cubic root of 106217101 is about 473.5852285619.

Adding to 106217101 its reverse (101712601), we get a palindrome (207929702).

The spelling of 106217101 in words is "one hundred six million, two hundred seventeen thousand, one hundred one".

Divisors: 1 41 919 2819 37679 115579 2590661 106217101