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106552212661 is a prime number
BaseRepresentation
bin110001100111100000…
…0011011110010110101
3101012000210210020021201
41203033000123302311
53221204331301121
6120541023412501
710461314602216
oct1431700336265
9335023706251
10106552212661
1141208a45494
1218798154131
13a081111b5b
14522b33740d
152b895a0e91
hex18cf01bcb5

106552212661 has 2 divisors, whose sum is σ = 106552212662. Its totient is φ = 106552212660.

The previous prime is 106552212653. The next prime is 106552212673. The reversal of 106552212661 is 166212255601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104567510161 + 1984702500 = 323369^2 + 44550^2 .

It is a cyclic number.

It is not a de Polignac number, because 106552212661 - 23 = 106552212653 is a prime.

It is a super-2 number, since 2×1065522126612 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106552212661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106552212691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53276106330 + 53276106331.

It is an arithmetic number, because the mean of its divisors is an integer number (53276106331).

Almost surely, 2106552212661 is an apocalyptic number.

It is an amenable number.

106552212661 is a deficient number, since it is larger than the sum of its proper divisors (1).

106552212661 is an equidigital number, since it uses as much as digits as its factorization.

106552212661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 106552212661 in words is "one hundred six billion, five hundred fifty-two million, two hundred twelve thousand, six hundred sixty-one".