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106365521167 is a prime number
BaseRepresentation
bin110001100001111100…
…0010000110100001111
3101011112210111022200221
41203003320100310033
53220314033134132
6120510314132211
710453560004153
oct1430370206417
9334483438627
10106365521167
11411226223a4
1218745721067
13a051537309
14521061b063
152b77ec4e97
hex18c3e10d0f

106365521167 has 2 divisors, whose sum is σ = 106365521168. Its totient is φ = 106365521166.

The previous prime is 106365521089. The next prime is 106365521179. The reversal of 106365521167 is 761125563601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106365521167 - 27 = 106365521039 is a prime.

It is a super-2 number, since 2×1063655211672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106365522167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53182760583 + 53182760584.

It is an arithmetic number, because the mean of its divisors is an integer number (53182760584).

Almost surely, 2106365521167 is an apocalyptic number.

106365521167 is a deficient number, since it is larger than the sum of its proper divisors (1).

106365521167 is an equidigital number, since it uses as much as digits as its factorization.

106365521167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 106365521167 in words is "one hundred six billion, three hundred sixty-five million, five hundred twenty-one thousand, one hundred sixty-seven".