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106606301357 = 3126991114033
BaseRepresentation
bin110001101001000111…
…0110001000010101101
3101012011120120020000202
41203102032301002231
53221312203120412
6120550235003245
710462542416213
oct1432216610255
9335146506022
10106606301357
1141236529096
12187b2299525
13a08c39c2ba
1452345b6cb3
152b8e1d73c2
hex18d23b10ad

106606301357 has 16 divisors (see below), whose sum is σ = 110583429120. Its totient is φ = 102663724800.

The previous prime is 106606301339. The next prime is 106606301377. The reversal of 106606301357 is 753103606601.

It is a cyclic number.

It is not a de Polignac number, because 106606301357 - 26 = 106606301293 is a prime.

It is a super-2 number, since 2×1066063013572 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106606301357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106606301377) 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 15 ways as a sum of consecutive naturals, for example, 7589813 + ... + 7603845.

It is an arithmetic number, because the mean of its divisors is an integer number (6911464320).

Almost surely, 2106606301357 is an apocalyptic number.

It is an amenable number.

106606301357 is a deficient number, since it is larger than the sum of its proper divisors (3977127763).

106606301357 is a wasteful number, since it uses less digits than its factorization.

106606301357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15244.

The product of its (nonzero) digits is 68040, while the sum is 38.

Adding to 106606301357 its reverse (753103606601), we get a palindrome (859709907958).

The spelling of 106606301357 in words is "one hundred six billion, six hundred six million, three hundred one thousand, three hundred fifty-seven".

Divisors: 1 31 269 911 8339 14033 28241 245059 435023 3774877 7596829 12784063 117021187 396305953 3438912947 106606301357