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102221105 = 5723143313
BaseRepresentation
bin1100001011111…
…00010100110001
321010100100222212
412011330110301
5202132033410
614050541505
72350602500
oct605742461
9233310885
10102221105
1152779258
122a297895
131824077c
14d80c837
158e92b05
hex617c531

102221105 has 48 divisors (see below), whose sum is σ = 151202304. Its totient is φ = 66044160.

The previous prime is 102221101. The next prime is 102221117. The reversal of 102221105 is 501122201.

It is not a de Polignac number, because 102221105 - 22 = 102221101 is a prime.

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 102221105.

It is not an unprimeable number, because it can be changed into a prime (102221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326429 + ... + 326741.

It is an arithmetic number, because the mean of its divisors is an integer number (3150048).

Almost surely, 2102221105 is an apocalyptic number.

It is an amenable number.

102221105 is a deficient number, since it is larger than the sum of its proper divisors (48981199).

102221105 is a wasteful number, since it uses less digits than its factorization.

102221105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 102221105 is about 10110.4453413289. The cubic root of 102221105 is about 467.5702354750.

Adding to 102221105 its reverse (501122201), we get a palindrome (603343306).

The spelling of 102221105 in words is "one hundred two million, two hundred twenty-one thousand, one hundred five".

Divisors: 1 5 7 31 35 43 49 155 215 217 245 301 313 1085 1333 1505 1519 1565 2107 2191 6665 7595 9331 9703 10535 10955 13459 15337 46655 48515 65317 67295 67921 76685 94213 326585 339605 417229 471065 475447 659491 2086145 2377235 2920603 3297455 14603015 20444221 102221105