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105618893 is a prime number
BaseRepresentation
bin1100100101110…
…01110111001101
321100201222212212
412102321313031
5204014301033
614251440205
72421513542
oct622716715
9240658785
10105618893
115468a046
122b456065
1318b601b3
1410054bc9
159414748
hex64b9dcd

105618893 has 2 divisors, whose sum is σ = 105618894. Its totient is φ = 105618892.

The previous prime is 105618883. The next prime is 105618901. The reversal of 105618893 is 398816501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105308644 + 310249 = 10262^2 + 557^2 .

It is a cyclic number.

It is not a de Polignac number, because 105618893 - 212 = 105614797 is a prime.

It is a super-2 number, since 2×1056188932 = 22310701117090898, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105618893.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105618803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52809446 + 52809447.

It is an arithmetic number, because the mean of its divisors is an integer number (52809447).

Almost surely, 2105618893 is an apocalyptic number.

It is an amenable number.

105618893 is a deficient number, since it is larger than the sum of its proper divisors (1).

105618893 is an equidigital number, since it uses as much as digits as its factorization.

105618893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 105618893 is about 10277.1052831038. The cubic root of 105618893 is about 472.6944869039.

The spelling of 105618893 in words is "one hundred five million, six hundred eighteen thousand, eight hundred ninety-three".