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105477941 is a prime number
BaseRepresentation
bin1100100100101…
…11011100110101
321100110211112102
412102113130311
5204000243231
614244431445
72420355602
oct622273465
9240424472
10105477941
11545a3158
122b3a8585
1318b10caa
14100196a9
1593d7acb
hex6497735

105477941 has 2 divisors, whose sum is σ = 105477942. Its totient is φ = 105477940.

The previous prime is 105477913. The next prime is 105477947. The reversal of 105477941 is 149774501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105472900 + 5041 = 10270^2 + 71^2 .

It is an emirp because it is prime and its reverse (149774501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105477941 is a prime.

It is a super-2 number, since 2×1054779412 = 22251192075198962, which contains 22 as substring.

It is a Chen prime.

It is equal to p6058586 and since 105477941 and 6058586 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 105477895 and 105477904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105477947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52738970 + 52738971.

It is an arithmetic number, because the mean of its divisors is an integer number (52738971).

Almost surely, 2105477941 is an apocalyptic number.

It is an amenable number.

105477941 is a deficient number, since it is larger than the sum of its proper divisors (1).

105477941 is an equidigital number, since it uses as much as digits as its factorization.

105477941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 105477941 is about 10270.2454206314. The cubic root of 105477941 is about 472.4841176786.

The spelling of 105477941 in words is "one hundred five million, four hundred seventy-seven thousand, nine hundred forty-one".