Search a number
-
+
106758218627 = 1071071193151
BaseRepresentation
bin110001101101101001…
…0010010001110000011
3101012120011102102100022
41203123102102032003
53222120100444002
6121013303044055
710466365612544
oct1433322221603
9335504372308
10106758218627
114130425a855
121883514062b
13a0b49bca88
14524a8404cb
152b9c6e4ba2
hex18db492383

106758218627 has 8 divisors (see below), whose sum is σ = 107767176192. Its totient is φ = 105749469000.

The previous prime is 106758218597. The next prime is 106758218639. The reversal of 106758218627 is 726812857601.

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 106758218627 - 210 = 106758217603 is a prime.

It is a super-2 number, since 2×1067582186272 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106758214627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1099502 + ... + 1192652.

It is an arithmetic number, because the mean of its divisors is an integer number (13470897024).

Almost surely, 2106758218627 is an apocalyptic number.

106758218627 is a deficient number, since it is larger than the sum of its proper divisors (1008957565).

106758218627 is a wasteful number, since it uses less digits than its factorization.

106758218627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103969.

The product of its (nonzero) digits is 2257920, while the sum is 53.

The spelling of 106758218627 in words is "one hundred six billion, seven hundred fifty-eight million, two hundred eighteen thousand, six hundred twenty-seven".

Divisors: 1 107 10711 93151 1146077 9967157 997740361 106758218627