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106277356397 is a prime number
BaseRepresentation
bin110001011111010011…
…1111100001101101101
3101011022122121002101002
41202332213330031231
53220124000401042
6120453444330045
710451436424052
oct1427647741555
9334278532332
10106277356397
1141087884953
12187200a3925
13a0391a8804
145202a2b029
152b703ac132
hex18be9fc36d

106277356397 has 2 divisors, whose sum is σ = 106277356398. Its totient is φ = 106277356396.

The previous prime is 106277356357. The next prime is 106277356411. The reversal of 106277356397 is 793653772601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105112772521 + 1164583876 = 324211^2 + 34126^2 .

It is a cyclic number.

It is not a de Polignac number, because 106277356397 - 232 = 101982389101 is a prime.

It is a super-2 number, since 2×1062773563972 (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 (106277356307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53138678198 + 53138678199.

It is an arithmetic number, because the mean of its divisors is an integer number (53138678199).

Almost surely, 2106277356397 is an apocalyptic number.

It is an amenable number.

106277356397 is a deficient number, since it is larger than the sum of its proper divisors (1).

106277356397 is an equidigital number, since it uses as much as digits as its factorization.

106277356397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10001880, while the sum is 56.

The spelling of 106277356397 in words is "one hundred six billion, two hundred seventy-seven million, three hundred fifty-six thousand, three hundred ninety-seven".