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106101041 is a prime number
BaseRepresentation
bin1100101001011…
…11100100110001
321101122111021012
412110233210301
5204130213131
614310040305
72425562324
oct624574461
9241574235
10106101041
1154989312
122b649095
1318c9b7a7
141013c7bb
1594ac52b
hex652f931

106101041 has 2 divisors, whose sum is σ = 106101042. Its totient is φ = 106101040.

The previous prime is 106101019. The next prime is 106101059. The reversal of 106101041 is 140101601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65141041 + 40960000 = 8071^2 + 6400^2 .

It is an emirp because it is prime and its reverse (140101601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106101041 - 222 = 101906737 is a prime.

It is a super-2 number, since 2×1061010412 = 22514861802567362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106107041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050520 + 53050521.

It is an arithmetic number, because the mean of its divisors is an integer number (53050521).

Almost surely, 2106101041 is an apocalyptic number.

It is an amenable number.

106101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101041 is an equidigital number, since it uses as much as digits as its factorization.

106101041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 106101041 is about 10300.5359569296. The cubic root of 106101041 is about 473.4126752645.

Adding to 106101041 its reverse (140101601), we get a palindrome (246202642).

The spelling of 106101041 in words is "one hundred six million, one hundred one thousand, forty-one".