Search a number
-
+
106812757 is a prime number
BaseRepresentation
bin1100101110111…
…01010101010101
321102222122120001
412113131111111
5204321002012
614333211301
72434615312
oct627352525
9242878501
10106812757
1155325007
122b930b31
131918a71c
1410285d09
15959d357
hex65dd555

106812757 has 2 divisors, whose sum is σ = 106812758. Its totient is φ = 106812756.

The previous prime is 106812733. The next prime is 106812773. The reversal of 106812757 is 757218601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62110161 + 44702596 = 7881^2 + 6686^2 .

It is an emirp because it is prime and its reverse (757218601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106812757 - 215 = 106779989 is a prime.

It is a super-2 number, since 2×1068127572 = 22817930115882098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106812157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53406378 + 53406379.

It is an arithmetic number, because the mean of its divisors is an integer number (53406379).

Almost surely, 2106812757 is an apocalyptic number.

It is an amenable number.

106812757 is a deficient number, since it is larger than the sum of its proper divisors (1).

106812757 is an equidigital number, since it uses as much as digits as its factorization.

106812757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 106812757 is about 10335.0257377522. The cubic root of 106812757 is about 474.4688533828.

The spelling of 106812757 in words is "one hundred six million, eight hundred twelve thousand, seven hundred fifty-seven".