Search a number
-
+
106692301 is a prime number
BaseRepresentation
bin1100101101111…
…11111011001101
321102202112022201
412112333323031
5204303123201
614330441501
72433604162
oct626777315
9242675281
10106692301
1155252561
122b893291
1319147951
1410254069
159577801
hex65bfecd

106692301 has 2 divisors, whose sum is σ = 106692302. Its totient is φ = 106692300.

The previous prime is 106692283. The next prime is 106692307. The reversal of 106692301 is 103296601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105884100 + 808201 = 10290^2 + 899^2 .

It is a cyclic number.

It is not a de Polignac number, because 106692301 - 25 = 106692269 is a prime.

It is a super-2 number, since 2×1066923012 = 22766494185349202, 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 106692301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106692307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53346150 + 53346151.

It is an arithmetic number, because the mean of its divisors is an integer number (53346151).

Almost surely, 2106692301 is an apocalyptic number.

It is an amenable number.

106692301 is a deficient number, since it is larger than the sum of its proper divisors (1).

106692301 is an equidigital number, since it uses as much as digits as its factorization.

106692301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 106692301 is about 10329.1965321607. The cubic root of 106692301 is about 474.2904286343.

It can be divided in two parts, 10 and 6692301, that added together give a triangular number (6692311 = T3658).

The spelling of 106692301 in words is "one hundred six million, six hundred ninety-two thousand, three hundred one".