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105444461 is a prime number
BaseRepresentation
bin1100100100011…
…11010001101101
321100102010121102
412102033101231
5203443210321
614244012445
72420156153
oct622172155
9240363542
10105444461
115457aa91
122b391125
1318acb995
141000b3d3
1593ccc0b
hex648f46d

105444461 has 2 divisors, whose sum is σ = 105444462. Its totient is φ = 105444460.

The previous prime is 105444373. The next prime is 105444463. The reversal of 105444461 is 164444501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64561225 + 40883236 = 8035^2 + 6394^2 .

It is a cyclic number.

It is not a de Polignac number, because 105444461 - 218 = 105182317 is a prime.

It is a super-2 number, since 2×1054444612 = 22237068711161042, which contains 22 as substring.

Together with 105444463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105444463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52722230 + 52722231.

It is an arithmetic number, because the mean of its divisors is an integer number (52722231).

Almost surely, 2105444461 is an apocalyptic number.

It is an amenable number.

105444461 is a deficient number, since it is larger than the sum of its proper divisors (1).

105444461 is an equidigital number, since it uses as much as digits as its factorization.

105444461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 105444461 is about 10268.6153399570. The cubic root of 105444461 is about 472.4341216254.

Adding to 105444461 its reverse (164444501), we get a palindrome (269888962).

The spelling of 105444461 in words is "one hundred five million, four hundred forty-four thousand, four hundred sixty-one".