Search a number
-
+
105376541 is a prime number
BaseRepresentation
bin1100100011111…
…10101100011101
321100021200102212
412101332230131
5203434022131
614242330205
72416454144
oct621765435
9240250385
10105376541
1154533a56
122b359965
1318aa6aaa
14ddd075b
1593b7a2b
hex647eb1d

105376541 has 2 divisors, whose sum is σ = 105376542. Its totient is φ = 105376540.

The previous prime is 105376529. The next prime is 105376553. The reversal of 105376541 is 145673501.

It is a balanced prime because it is at equal distance from previous prime (105376529) and next prime (105376553).

It can be written as a sum of positive squares in only one way, i.e., 73170916 + 32205625 = 8554^2 + 5675^2 .

It is an emirp because it is prime and its reverse (145673501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105376541 is a prime.

It is a super-2 number, since 2×1053765412 = 22208430786249362, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105376498 and 105376507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105376511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52688270 + 52688271.

It is an arithmetic number, because the mean of its divisors is an integer number (52688271).

Almost surely, 2105376541 is an apocalyptic number.

It is an amenable number.

105376541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105376541 is an equidigital number, since it uses as much as digits as its factorization.

105376541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 105376541 is about 10265.3076427353. The cubic root of 105376541 is about 472.3326634193.

The spelling of 105376541 in words is "one hundred five million, three hundred seventy-six thousand, five hundred forty-one".