Search a number
-
+
106168693 is a prime number
BaseRepresentation
bin1100101010000…
…00000101110101
321101202221001211
412111000011311
5204134344233
614311321421
72426263501
oct625000565
9241687054
10106168693
1154a25124
122b680271
1318cc3517
1410159301
1594c25cd
hex6540175

106168693 has 2 divisors, whose sum is σ = 106168694. Its totient is φ = 106168692.

The previous prime is 106168679. The next prime is 106168697. The reversal of 106168693 is 396861601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104898564 + 1270129 = 10242^2 + 1127^2 .

It is an emirp because it is prime and its reverse (396861601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106168693 - 213 = 106160501 is a prime.

It is a super-2 number, since 2×1061686932 = 22543582746656498, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106168697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53084346 + 53084347.

It is an arithmetic number, because the mean of its divisors is an integer number (53084347).

Almost surely, 2106168693 is an apocalyptic number.

It is an amenable number.

106168693 is a deficient number, since it is larger than the sum of its proper divisors (1).

106168693 is an equidigital number, since it uses as much as digits as its factorization.

106168693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 106168693 is about 10303.8193404194. The cubic root of 106168693 is about 473.5132727998.

The spelling of 106168693 in words is "one hundred six million, one hundred sixty-eight thousand, six hundred ninety-three".