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106595595601 = 1117570029923
BaseRepresentation
bin110001101000110010…
…1111011010101010001
3101012010211102022111021
41203101211323111101
53221301433024401
6120545213315441
710462352420125
oct1432145732521
9335124368437
10106595595601
1141230486760
12187aa795b81
13a08a0c1431
145232dcb585
152b8d2c02a1
hex18d197b551

106595595601 has 8 divisors (see below), whose sum is σ = 123126463584. Its totient is φ = 91204787520.

The previous prime is 106595595583. The next prime is 106595595677.

106595595601 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 106595595601 - 211 = 106595593553 is a prime.

It is a super-2 number, since 2×1065955956012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106595595401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285014775 + ... + 285015148.

It is an arithmetic number, because the mean of its divisors is an integer number (15390807948).

Almost surely, 2106595595601 is an apocalyptic number.

106595595601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106595595601 is a deficient number, since it is larger than the sum of its proper divisors (16530867983).

106595595601 is a wasteful number, since it uses less digits than its factorization.

106595595601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570029951.

The product of its (nonzero) digits is 1822500, while the sum is 52.

The spelling of 106595595601 in words is "one hundred six billion, five hundred ninety-five million, five hundred ninety-five thousand, six hundred one".

Divisors: 1 11 17 187 570029923 6270329153 9690508691 106595595601