Search a number
-
+
106105506011 = 415934364147
BaseRepresentation
bin110001011010001100…
…0011000100011011011
3101010212200020011221222
41202310120120203123
53214301002143021
6120424425122255
710444251630401
oct1426430304333
9333780204858
10106105506011
1140aa987913a
121869262938b
13a00c6c91ab
1451c7c95471
152b602636ab
hex18b46188db

106105506011 has 8 divisors (see below), whose sum is σ = 108876764304. Its totient is φ = 103342977280.

The previous prime is 106105505999. The next prime is 106105506041. The reversal of 106105506011 is 110605501601.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106105506011 is a prime.

It is a super-2 number, since 2×1061055060112 (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 (106105506041) 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, 2157761 + ... + 2206386.

It is an arithmetic number, because the mean of its divisors is an integer number (13609595538).

Almost surely, 2106105506011 is an apocalyptic number.

106105506011 is a deficient number, since it is larger than the sum of its proper divisors (2771258293).

106105506011 is an equidigital number, since it uses as much as digits as its factorization.

106105506011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364781.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 106105506011 in words is "one hundred six billion, one hundred five million, five hundred six thousand, eleven".

Divisors: 1 41 593 24313 4364147 178930027 2587939171 106105506011