Search a number
-
+
106768193 = 716199421
BaseRepresentation
bin1100101110100…
…10011101000001
321102220101102112
412113102131001
5204313040233
614332225105
72434341350
oct627223501
9242811375
10106768193
11552a4584
122b90b195
131917335c
1410273997
159590048
hex65d2741

106768193 has 8 divisors (see below), whose sum is σ = 122109120. Its totient is φ = 91449360.

The previous prime is 106768187. The next prime is 106768213. The reversal of 106768193 is 391867601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106768193 - 210 = 106767169 is a prime.

It is a super-2 number, since 2×1067681932 = 22798894072970498, 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 106768193.

It is not an unprimeable number, because it can be changed into a prime (106768133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6623 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (15263640).

Almost surely, 2106768193 is an apocalyptic number.

It is an amenable number.

106768193 is a deficient number, since it is larger than the sum of its proper divisors (15340927).

106768193 is an equidigital number, since it uses as much as digits as its factorization.

106768193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047.

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 106768193 is about 10332.8695433553. The cubic root of 106768193 is about 474.4028588586.

The spelling of 106768193 in words is "one hundred six million, seven hundred sixty-eight thousand, one hundred ninety-three".

Divisors: 1 7 1619 9421 11333 65947 15252599 106768193