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106108362593 is a prime number
BaseRepresentation
bin110001011010010001…
…1010001111101100001
3101010212212121022110022
41202310203101331201
53214302220100333
6120425010243225
710444315125542
oct1426443217541
9333785538408
10106108362593
114100044a352
1218693586515
13a01018948c
1451c83da4c9
152b60629c98
hex18b48d1f61

106108362593 has 2 divisors, whose sum is σ = 106108362594. Its totient is φ = 106108362592.

The previous prime is 106108362589. The next prime is 106108362623. The reversal of 106108362593 is 395263801601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71830432144 + 34277930449 = 268012^2 + 185143^2 .

It is a cyclic number.

It is not a de Polignac number, because 106108362593 - 22 = 106108362589 is a prime.

It is a super-2 number, since 2×1061083625932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106108332593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53054181296 + 53054181297.

It is an arithmetic number, because the mean of its divisors is an integer number (53054181297).

Almost surely, 2106108362593 is an apocalyptic number.

It is an amenable number.

106108362593 is a deficient number, since it is larger than the sum of its proper divisors (1).

106108362593 is an equidigital number, since it uses as much as digits as its factorization.

106108362593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 106108362593 in words is "one hundred six billion, one hundred eight million, three hundred sixty-two thousand, five hundred ninety-three".