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106414401727 is a prime number
BaseRepresentation
bin110001100011011001…
…0101110100010111111
3101011200012110201020001
41203012302232202333
53220414041323402
6120515221535131
710455022330114
oct1430662564277
9334605421201
10106414401727
1141148179057
1218759b744a7
13a05b6c001a
145216d0290b
152b7c42d187
hex18c6cae8bf

106414401727 has 2 divisors, whose sum is σ = 106414401728. Its totient is φ = 106414401726.

The previous prime is 106414401689. The next prime is 106414401749. The reversal of 106414401727 is 727104414601.

It is a strong prime.

It is an emirp because it is prime and its reverse (727104414601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106414401727 is a prime.

It is a super-2 number, since 2×1064144017272 (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 (106414401757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53207200863 + 53207200864.

It is an arithmetic number, because the mean of its divisors is an integer number (53207200864).

Almost surely, 2106414401727 is an apocalyptic number.

106414401727 is a deficient number, since it is larger than the sum of its proper divisors (1).

106414401727 is an equidigital number, since it uses as much as digits as its factorization.

106414401727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 106414401727 in words is "one hundred six billion, four hundred fourteen million, four hundred one thousand, seven hundred twenty-seven".