Search a number
-
+
105101533 is a prime number
BaseRepresentation
bin1100100001110…
…11100011011101
321022202201012101
412100323203131
5203401222113
614232405101
72414230315
oct620734335
9238681171
10105101533
1154366379
122b246791
1318a0b874
14dd5c445
1593612dd
hex643b8dd

105101533 has 2 divisors, whose sum is σ = 105101534. Its totient is φ = 105101532.

The previous prime is 105101527. The next prime is 105101543. The reversal of 105101533 is 335101501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85414564 + 19686969 = 9242^2 + 4437^2 .

It is a cyclic number.

It is not a de Polignac number, because 105101533 - 213 = 105093341 is a prime.

It is a super-2 number, since 2×1051015332 = 22092664477900178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105101533.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105101543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550766 + 52550767.

It is an arithmetic number, because the mean of its divisors is an integer number (52550767).

Almost surely, 2105101533 is an apocalyptic number.

It is an amenable number.

105101533 is a deficient number, since it is larger than the sum of its proper divisors (1).

105101533 is an equidigital number, since it uses as much as digits as its factorization.

105101533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 105101533 is about 10251.9038719645. The cubic root of 105101533 is about 471.9214130509.

The spelling of 105101533 in words is "one hundred five million, one hundred one thousand, five hundred thirty-three".