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105063192930 = 23523210496311
BaseRepresentation
bin110000111011001000…
…0010001100101100010
3101001012000221012012210
41201312100101211202
53210132134133210
6120133152502550
710406364255633
oct1416620214542
9331160835183
10105063192930
1140614484973
121844154aa56
139ba47956a7
14512969188a
152aed9c4e20
hex1876411962

105063192930 has 96 divisors (see below), whose sum is σ = 263884521600. Its totient is φ = 26768938240.

The previous prime is 105063192917. The next prime is 105063192931. The reversal of 105063192930 is 39291360501.

It is a super-2 number, since 2×1050631929302 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105063192931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16644475 + ... + 16650785.

It is an arithmetic number, because the mean of its divisors is an integer number (2748797100).

Almost surely, 2105063192930 is an apocalyptic number.

105063192930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105063192930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131942260800).

105063192930 is an abundant number, since it is smaller than the sum of its proper divisors (158821328670).

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

105063192930 is a wasteful number, since it uses less digits than its factorization.

105063192930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The spelling of 105063192930 in words is "one hundred five billion, sixty-three million, one hundred ninety-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 690 1049 1058 1587 2098 2645 3147 3174 5245 5290 6294 6311 7935 10490 12622 15735 15870 18933 24127 31470 31555 37866 48254 63110 72381 94665 120635 144762 145153 189330 241270 290306 361905 435459 554921 723810 725765 870918 1109842 1451530 1664763 2177295 2774605 3329526 3338519 4354590 5549210 6620239 6677038 8323815 10015557 13240478 16647630 16692595 19860717 20031114 33101195 33385190 39721434 50077785 66202390 99303585 100155570 152265497 198607170 304530994 456796491 761327485 913592982 1522654970 2283982455 3502106431 4567964910 7004212862 10506319293 17510532155 21012638586 35021064310 52531596465 105063192930