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105025415341 = 71119347443467
BaseRepresentation
bin110000111010000000…
…0001010100010101101
3101001002101211220002211
41201310000022202231
53210043001242331
6120125323050421
710405425205120
oct1416400124255
9331071756084
10105025415341
11405a5122020
1218430970a11
139b999c95a2
14512465a3b7
152aea5118b1
hex187400a8ad

105025415341 has 64 divisors (see below), whose sum is σ = 138838302720. Its totient is φ = 76967616960.

The previous prime is 105025415333. The next prime is 105025415359. The reversal of 105025415341 is 143514520501.

It is a cyclic number.

It is not a de Polignac number, because 105025415341 - 23 = 105025415333 is a prime.

It is a super-2 number, since 2×1050254153412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105025415311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224893590 + ... + 224894056.

It is an arithmetic number, because the mean of its divisors is an integer number (2169348480).

Almost surely, 2105025415341 is an apocalyptic number.

105025415341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105025415341 is a deficient number, since it is larger than the sum of its proper divisors (33812887379).

105025415341 is a wasteful number, since it uses less digits than its factorization.

105025415341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294.

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 105025415341 its reverse (143514520501), we get a palindrome (248539935842).

The spelling of 105025415341 in words is "one hundred five billion, twenty-five million, four hundred fifteen thousand, three hundred forty-one".

Divisors: 1 7 11 19 77 133 209 347 443 467 1463 2429 3101 3269 3817 4873 5137 6593 8417 8873 26719 34111 35959 46151 58919 62111 72523 92587 97603 153721 162049 206881 507661 648109 683221 1076047 1134343 1448167 1690931 1782539 2275691 2920699 3078931 3930739 11836517 12477773 15929837 20444893 21552517 27515173 32127689 33868241 43238129 71787707 224893823 237077687 302666903 502513949 789664777 1363966433 5527653439 9547765031 15003630763 105025415341