Search a number
-
+
106405542717 = 3233152225383
BaseRepresentation
bin110001100011001000…
…0111011101100111101
3101011122120210121221120
41203012100323230331
53220404304331332
6120514304021153
710454554122105
oct1430620735475
9334576717846
10106405542717
1141143178161
12187570017b9
13a05990a8c6
145215a78205
152b7b77d32c
hex18c643bb3d

106405542717 has 8 divisors (see below), whose sum is σ = 142482959424. Its totient is φ = 70632577248.

The previous prime is 106405542671. The next prime is 106405542721. The reversal of 106405542717 is 717245504601.

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

It is not a de Polignac number, because 106405542717 - 28 = 106405542461 is a prime.

It is a super-2 number, since 2×1064055427172 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106405544717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76111993 + ... + 76113390.

It is an arithmetic number, because the mean of its divisors is an integer number (17810369928).

Almost surely, 2106405542717 is an apocalyptic number.

It is an amenable number.

106405542717 is a deficient number, since it is larger than the sum of its proper divisors (36077416707).

106405542717 is a wasteful number, since it uses less digits than its factorization.

106405542717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152225619.

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 106405542717 in words is "one hundred six billion, four hundred five million, five hundred forty-two thousand, seven hundred seventeen".

Divisors: 1 3 233 699 152225383 456676149 35468514239 106405542717