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106362253969 is a prime number
BaseRepresentation
bin110001100001110101…
…1110011001010010001
3101011112120100022221121
41203003223303022101
53220312214111334
6120510120122241
710453520145616
oct1430353631221
9334476308847
10106362253969
11411207a0734
1218744606381
13a05096216a
14521000a50d
152b77a7bdb4
hex18c3af3291

106362253969 has 2 divisors, whose sum is σ = 106362253970. Its totient is φ = 106362253968.

The previous prime is 106362253967. The next prime is 106362253979. The reversal of 106362253969 is 969352263601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86821569025 + 19540684944 = 294655^2 + 139788^2 .

It is a cyclic number.

It is not a de Polignac number, because 106362253969 - 21 = 106362253967 is a prime.

It is a super-4 number, since 4×1063622539694 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 106362253967, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106362253961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53181126984 + 53181126985.

It is an arithmetic number, because the mean of its divisors is an integer number (53181126985).

Almost surely, 2106362253969 is an apocalyptic number.

It is an amenable number.

106362253969 is a deficient number, since it is larger than the sum of its proper divisors (1).

106362253969 is an equidigital number, since it uses as much as digits as its factorization.

106362253969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3149280, while the sum is 52.

The spelling of 106362253969 in words is "one hundred six billion, three hundred sixty-two million, two hundred fifty-three thousand, nine hundred sixty-nine".