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106092337961 is a prime number
BaseRepresentation
bin110001011001110011…
…0001001101100101001
3101010211202110011210102
41202303212021230221
53214234114303321
6120423234555145
710444031664521
oct1426346115451
9333752404712
10106092337961
1140aa23a4855
121868a138ab5
13a009a6864c
1451c6228681
152b5e011c0b
hex18b3989b29

106092337961 has 2 divisors, whose sum is σ = 106092337962. Its totient is φ = 106092337960.

The previous prime is 106092337933. The next prime is 106092337963. The reversal of 106092337961 is 169733290601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105450222361 + 642115600 = 324731^2 + 25340^2 .

It is a cyclic number.

It is not a de Polignac number, because 106092337961 - 222 = 106088143657 is a prime.

It is a super-2 number, since 2×1060923379612 (a number of 23 digits) contains 22 as substring.

Together with 106092337963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106092337963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53046168980 + 53046168981.

It is an arithmetic number, because the mean of its divisors is an integer number (53046168981).

Almost surely, 2106092337961 is an apocalyptic number.

It is an amenable number.

106092337961 is a deficient number, since it is larger than the sum of its proper divisors (1).

106092337961 is an equidigital number, since it uses as much as digits as its factorization.

106092337961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 367416, while the sum is 47.

The spelling of 106092337961 in words is "one hundred six billion, ninety-two million, three hundred thirty-seven thousand, nine hundred sixty-one".