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105497196 = 2237319271
BaseRepresentation
bin1100100100111…
…00001001101100
321100111210221120
412102130021230
5204001402241
614245100540
72420466000
oct622341154
9240453846
10105497196
1154606672
122b3b7750
1318b1999c
1410022700
1593dd666
hex649c26c

105497196 has 144 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 28153440.

The previous prime is 105497179. The next prime is 105497209. The reversal of 105497196 is 691794501.

It is a super-2 number, since 2×1054971962 = 22259316727724832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1485841 + ... + 1485911.

It is an arithmetic number, because the mean of its divisors is an integer number (2133600).

Almost surely, 2105497196 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 105497196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

105497196 is an abundant number, since it is smaller than the sum of its proper divisors (201741204).

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

105497196 is a wasteful number, since it uses less digits than its factorization.

105497196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 105497196 is about 10271.1827945958. The cubic root of 105497196 is about 472.5128665906.

The spelling of 105497196 in words is "one hundred five million, four hundred ninety-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 71 76 84 98 114 133 142 147 196 213 228 266 284 294 343 361 399 426 497 532 588 686 722 798 852 931 994 1029 1083 1349 1372 1444 1491 1596 1862 1988 2058 2166 2527 2698 2793 2982 3479 3724 4047 4116 4332 5054 5396 5586 5964 6517 6958 7581 8094 9443 10108 10437 11172 13034 13916 15162 16188 17689 18886 19551 20874 24353 25631 26068 28329 30324 35378 37772 39102 41748 48706 51262 53067 56658 66101 70756 73059 76893 78204 97412 102524 106134 113316 123823 132202 146118 153786 179417 198303 212268 247646 264404 292236 307572 358834 371469 396606 462707 495292 538251 717668 742938 793212 925414 1076502 1255919 1388121 1485876 1850828 2153004 2511838 2776242 3767757 5023676 5552484 7535514 8791433 15071028 17582866 26374299 35165732 52748598 105497196