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106764100305 = 3527725695331
BaseRepresentation
bin110001101101110100…
…0101110001011010001
3101012120120111020111020
41203123220232023101
53222123102202210
6121014033110053
710466466610362
oct1433350561321
9335516436436
10106764100305
1141307607845
12188370b8329
13a0b5c9bc65
14524b531b69
152b9cea7770
hex18dba2e2d1

106764100305 has 16 divisors (see below), whose sum is σ = 171439255104. Its totient is φ = 56735288640.

The previous prime is 106764100301. The next prime is 106764100307. The reversal of 106764100305 is 503001467601.

It is not a de Polignac number, because 106764100305 - 22 = 106764100301 is a prime.

It is a super-2 number, since 2×1067641003052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106764100301) 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 15 ways as a sum of consecutive naturals, for example, 12843511 + ... + 12851820.

It is an arithmetic number, because the mean of its divisors is an integer number (10714953444).

Almost surely, 2106764100305 is an apocalyptic number.

106764100305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106764100305 is a deficient number, since it is larger than the sum of its proper divisors (64675154799).

106764100305 is a wasteful number, since it uses less digits than its factorization.

106764100305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25695616.

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 106764100305 its reverse (503001467601), we get a palindrome (609765567906).

The spelling of 106764100305 in words is "one hundred six billion, seven hundred sixty-four million, one hundred thousand, three hundred five".

Divisors: 1 3 5 15 277 831 1385 4155 25695331 77085993 128476655 385429965 7117606687 21352820061 35588033435 106764100305