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105601627 is a prime number
BaseRepresentation
bin1100100101101…
…01101001011011
321100201010012101
412102311221123
5204013223002
614251224231
72421412315
oct622655133
9240633171
10105601627
115467807a
122b448077
1318b55391
141004c7b5
15940e587
hex64b5a5b

105601627 has 2 divisors, whose sum is σ = 105601628. Its totient is φ = 105601626.

The previous prime is 105601607. The next prime is 105601631. The reversal of 105601627 is 726106501.

It is a strong prime.

It is an emirp because it is prime and its reverse (726106501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105601627 - 219 = 105077339 is a prime.

It is a super-2 number, since 2×1056016272 = 22303407250094258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105601595 and 105601604.

It is not a weakly prime, because it can be changed into another prime (105601607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800813 + 52800814.

It is an arithmetic number, because the mean of its divisors is an integer number (52800814).

Almost surely, 2105601627 is an apocalyptic number.

105601627 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601627 is an equidigital number, since it uses as much as digits as its factorization.

105601627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105601627 is about 10276.2652262386. The cubic root of 105601627 is about 472.6687276621.

The spelling of 105601627 in words is "one hundred five million, six hundred one thousand, six hundred twenty-seven".