Search a number
-
+
106552329906 = 23111614429241
BaseRepresentation
bin110001100111100000…
…0111000011010110010
3101012000211000012010010
41203033000320122302
53221204344024111
6120541030115350
710461315601101
oct1431700703262
9335024005103
10106552329906
1141209015590
12187981abb56
13a081153329
14522b368038
152b895c5aa6
hex18cf0386b2

106552329906 has 16 divisors (see below), whose sum is σ = 232477810848. Its totient is φ = 32288584800.

The previous prime is 106552329901. The next prime is 106552329953. The reversal of 106552329906 is 609923255601.

It is a happy number.

It is a super-2 number, since 2×1065523299062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106552329901) 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, 807214555 + ... + 807214686.

It is an arithmetic number, because the mean of its divisors is an integer number (14529863178).

Almost surely, 2106552329906 is an apocalyptic number.

106552329906 is an abundant number, since it is smaller than the sum of its proper divisors (125925480942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106552329906 is a wasteful number, since it uses less digits than its factorization.

106552329906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614429257.

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 106552329906 in words is "one hundred six billion, five hundred fifty-two million, three hundred twenty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 11 22 33 66 1614429241 3228858482 4843287723 9686575446 17758721651 35517443302 53276164953 106552329906