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102310164 = 2232112347239
BaseRepresentation
bin1100001100100…
…10000100010100
321010111220011100
412012102010110
5202142411124
614052510100
72351423235
oct606220424
9233456140
10102310164
115282a160
122a31b330
1318272178
14d83308c
158eae1c9
hex6192114

102310164 has 144 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 28902720.

The previous prime is 102310147. The next prime is 102310171. The reversal of 102310164 is 461013201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427957 + ... + 428195.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2102310164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102310164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

102310164 is an abundant number, since it is smaller than the sum of its proper divisors (199605996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102310164 is a wasteful number, since it uses less digits than its factorization.

102310164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102310164 is about 10114.8486889325. The cubic root of 102310164 is about 467.7059845139.

Adding to 102310164 its reverse (461013201), we get a palindrome (563323365).

It can be divided in two parts, 1023101 and 64, that added together give a triangular number (1023165 = T1430).

The spelling of 102310164 in words is "one hundred two million, three hundred ten thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 47 66 69 92 94 99 132 138 141 188 198 207 239 253 276 282 396 414 423 478 506 517 564 717 759 828 846 956 1012 1034 1081 1434 1518 1551 1692 2068 2151 2162 2277 2629 2868 3036 3102 3243 4302 4324 4554 4653 5258 5497 6204 6486 7887 8604 9108 9306 9729 10516 10994 11233 11891 12972 15774 16491 18612 19458 21988 22466 23661 23782 31548 32982 33699 35673 38916 44932 47322 47564 49473 60467 65964 67398 71346 94644 98946 101097 107019 120934 123563 134796 142692 181401 197892 202194 214038 241868 247126 258359 362802 370689 404388 428076 494252 516718 544203 725604 741378 775077 1033436 1088406 1112067 1482756 1550154 2176812 2224134 2325231 2841949 3100308 4448268 4650462 5683898 8525847 9300924 11367796 17051694 25577541 34103388 51155082 102310164