Search a number
-
+
106800641 is a prime number
BaseRepresentation
bin1100101110110…
…10011000000001
321102222000221022
412113122120001
5204320110031
614333035225
72434535063
oct627323001
9242860838
10106800641
11553169a2
122b925b15
131918505c
1410281733
15959997b
hex65da601

106800641 has 2 divisors, whose sum is σ = 106800642. Its totient is φ = 106800640.

The previous prime is 106800601. The next prime is 106800703. The reversal of 106800641 is 146008601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105370225 + 1430416 = 10265^2 + 1196^2 .

It is a cyclic number.

It is not a de Polignac number, because 106800641 - 222 = 102606337 is a prime.

It is a super-2 number, since 2×1068006412 = 22812753836021762, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106800641.

It is not a weakly prime, because it can be changed into another prime (106800601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53400320 + 53400321.

It is an arithmetic number, because the mean of its divisors is an integer number (53400321).

Almost surely, 2106800641 is an apocalyptic number.

It is an amenable number.

106800641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106800641 is an equidigital number, since it uses as much as digits as its factorization.

106800641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 106800641 is about 10334.4395590666. The cubic root of 106800641 is about 474.4509126981.

The spelling of 106800641 in words is "one hundred six million, eight hundred thousand, six hundred forty-one".