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10106477 is a prime number
BaseRepresentation
bin100110100011…
…011001101101
3201000110110222
4212203121231
510041401402
61000341125
7151621643
oct46433155
921013428
1010106477
115783167
1234747a5
13212b184
1414b1193
15d497a2
hex9a366d

10106477 has 2 divisors, whose sum is σ = 10106478. Its totient is φ = 10106476.

The previous prime is 10106443. The next prime is 10106491. The reversal of 10106477 is 77460101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8916196 + 1190281 = 2986^2 + 1091^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106477 - 210 = 10105453 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053238 + 5053239.

It is an arithmetic number, because the mean of its divisors is an integer number (5053239).

Almost surely, 210106477 is an apocalyptic number.

It is an amenable number.

10106477 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106477 is an equidigital number, since it uses as much as digits as its factorization.

10106477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 10106477 is about 3179.0685742840. The cubic root of 10106477 is about 216.2054301321.

Adding to 10106477 its reverse (77460101), we get a palindrome (87566578).

The spelling of 10106477 in words is "ten million, one hundred six thousand, four hundred seventy-seven".