Search a number
-
+
105749467 is a prime number
BaseRepresentation
bin1100100110110…
…01101111011011
321100222121222221
412103121233123
5204032440332
614254324511
72422566325
oct623315733
9240877887
10105749467
115476915a
122b4b9737
1318ba7765
141008a615
15943d297
hex64d9bdb

105749467 has 2 divisors, whose sum is σ = 105749468. Its totient is φ = 105749466.

The previous prime is 105749453. The next prime is 105749473. The reversal of 105749467 is 764947501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105749467 is a prime.

It is a super-2 number, since 2×1057494672 = 22365899541568178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105749437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52874733 + 52874734.

It is an arithmetic number, because the mean of its divisors is an integer number (52874734).

Almost surely, 2105749467 is an apocalyptic number.

105749467 is a deficient number, since it is larger than the sum of its proper divisors (1).

105749467 is an equidigital number, since it uses as much as digits as its factorization.

105749467 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 105749467 is about 10283.4559852221. The cubic root of 105749467 is about 472.8892001497.

The spelling of 105749467 in words is "one hundred five million, seven hundred forty-nine thousand, four hundred sixty-seven".