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105461437 is a prime number
BaseRepresentation
bin1100100100100…
…11011010111101
321100102222220011
412102103122331
5203444231222
614244223221
72420256514
oct622233275
9240388804
10105461437
1154591814
122b39ab11
1318b06623
141001367b
1593d2c77
hex64936bd

105461437 has 2 divisors, whose sum is σ = 105461438. Its totient is φ = 105461436.

The previous prime is 105461423. The next prime is 105461441. The reversal of 105461437 is 734164501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88247236 + 17214201 = 9394^2 + 4149^2 .

It is a cyclic number.

It is not a de Polignac number, because 105461437 - 27 = 105461309 is a prime.

It is a super-2 number, since 2×1054614372 = 22244229388209938, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105461399 and 105461408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105461537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52730718 + 52730719.

It is an arithmetic number, because the mean of its divisors is an integer number (52730719).

Almost surely, 2105461437 is an apocalyptic number.

It is an amenable number.

105461437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105461437 is an equidigital number, since it uses as much as digits as its factorization.

105461437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 105461437 is about 10269.4419030442. The cubic root of 105461437 is about 472.4594733958.

The spelling of 105461437 in words is "one hundred five million, four hundred sixty-one thousand, four hundred thirty-seven".