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106723104131 = 729525729577
BaseRepresentation
bin110001101100100110…
…0010101010110000011
3101012110201100102022102
41203121030111112003
53222032103313011
6121010010301015
710465461263120
oct1433114252603
9335421312272
10106723104131
1141296456806
121882542776b
13a0aa646b77
145245cdd747
152b995aa73b
hex18d9315583

106723104131 has 8 divisors (see below), whose sum is σ = 126175098720. Its totient is φ = 88322568768.

The previous prime is 106723104119. The next prime is 106723104133. The reversal of 106723104131 is 131401327601.

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

It is not a de Polignac number, because 106723104131 - 218 = 106722841987 is a prime.

It is a super-2 number, since 2×1067231041312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106723104094 and 106723104103.

It is not an unprimeable number, because it can be changed into a prime (106723104133) 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, 262864586 + ... + 262864991.

It is an arithmetic number, because the mean of its divisors is an integer number (15771887340).

Almost surely, 2106723104131 is an apocalyptic number.

106723104131 is a deficient number, since it is larger than the sum of its proper divisors (19451994589).

106723104131 is an equidigital number, since it uses as much as digits as its factorization.

106723104131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525729613.

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 106723104131 in words is "one hundred six billion, seven hundred twenty-three million, one hundred four thousand, one hundred thirty-one".

Divisors: 1 7 29 203 525729577 3680107039 15246157733 106723104131