Search a number
-
+
105354929 is a prime number
BaseRepresentation
bin1100100011110…
…01011010110001
321100020120210102
412101321122301
5203432324204
614242042145
72416334141
oct621713261
9240216712
10105354929
1154519799
122b349355
1318a99cc4
14ddc6921
1593b141e
hex64796b1

105354929 has 2 divisors, whose sum is σ = 105354930. Its totient is φ = 105354928.

The previous prime is 105354919. The next prime is 105354959. The reversal of 105354929 is 929453501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83685904 + 21669025 = 9148^2 + 4655^2 .

It is a cyclic number.

It is not a de Polignac number, because 105354929 - 24 = 105354913 is a prime.

It is a super-2 number, since 2×1053549292 = 22199322129190082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105354892 and 105354901.

It is not a weakly prime, because it can be changed into another prime (105354919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52677464 + 52677465.

It is an arithmetic number, because the mean of its divisors is an integer number (52677465).

Almost surely, 2105354929 is an apocalyptic number.

It is an amenable number.

105354929 is a deficient number, since it is larger than the sum of its proper divisors (1).

105354929 is an equidigital number, since it uses as much as digits as its factorization.

105354929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 105354929 is about 10264.2549169436. The cubic root of 105354929 is about 472.3003704903.

The spelling of 105354929 in words is "one hundred five million, three hundred fifty-four thousand, nine hundred twenty-nine".