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106616055401 is a prime number
BaseRepresentation
bin110001101001011001…
…1111110011001101001
3101012012020220210001122
41203102303332121221
53221322202233101
6120551224025025
710463021342522
oct1432263763151
9335166823048
10106616055401
1141240a90489
12187b5602175
13a091405c1b
1452359d5849
152b8eeb251b
hex18d2cfe669

106616055401 has 2 divisors, whose sum is σ = 106616055402. Its totient is φ = 106616055400.

The previous prime is 106616055389. The next prime is 106616055443. The reversal of 106616055401 is 104550616601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104473754176 + 2142301225 = 323224^2 + 46285^2 .

It is a cyclic number.

It is not a de Polignac number, because 106616055401 - 214 = 106616039017 is a prime.

It is a super-2 number, since 2×1066160554012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106616055451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53308027700 + 53308027701.

It is an arithmetic number, because the mean of its divisors is an integer number (53308027701).

Almost surely, 2106616055401 is an apocalyptic number.

It is an amenable number.

106616055401 is a deficient number, since it is larger than the sum of its proper divisors (1).

106616055401 is an equidigital number, since it uses as much as digits as its factorization.

106616055401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 106616055401 in words is "one hundred six billion, six hundred sixteen million, fifty-five thousand, four hundred one".