Search a number
-
+
105273037 is a prime number
BaseRepresentation
bin1100100011001…
…01011011001101
321100002102110101
412101211123031
5203422214122
614240211101
72415543322
oct621453315
9240072411
10105273037
1154473211
122b309a91
1318a6b94c
14dda4b49
159397027
hex64656cd

105273037 has 2 divisors, whose sum is σ = 105273038. Its totient is φ = 105273036.

The previous prime is 105273031. The next prime is 105273067. The reversal of 105273037 is 730372501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54848836 + 50424201 = 7406^2 + 7101^2 .

It is a cyclic number.

It is not a de Polignac number, because 105273037 - 211 = 105270989 is a prime.

It is a super-2 number, since 2×1052730372 = 22164824638406738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105272996 and 105273014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105273031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52636518 + 52636519.

It is an arithmetic number, because the mean of its divisors is an integer number (52636519).

Almost surely, 2105273037 is an apocalyptic number.

It is an amenable number.

105273037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105273037 is an equidigital number, since it uses as much as digits as its factorization.

105273037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 105273037 is about 10260.2649575925. The cubic root of 105273037 is about 472.1779663213.

The spelling of 105273037 in words is "one hundred five million, two hundred seventy-three thousand, thirty-seven".