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105017076 = 2232107137199
BaseRepresentation
bin1100100001001…
…10111011110100
321022121102100100
412100212323310
5203341021301
614230514100
72413426143
oct620467364
9238542310
10105017076
115430897a
122b205930
13189ac2a8
14dd3975a
159346286
hex6426ef4

105017076 has 72 divisors (see below), whose sum is σ = 271252800. Its totient is φ = 34252416.

The previous prime is 105017069. The next prime is 105017083. The reversal of 105017076 is 670710501.

It is an interprime number because it is at equal distance from previous prime (105017069) and next prime (105017083).

It is a super-2 number, since 2×1050170762 = 22057172503179552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527625 + ... + 527823.

It is an arithmetic number, because the mean of its divisors is an integer number (3767400).

Almost surely, 2105017076 is an apocalyptic number.

It is an amenable number.

105017076 is an abundant number, since it is smaller than the sum of its proper divisors (166235724).

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

105017076 is a wasteful number, since it uses less digits than its factorization.

105017076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 105017076 is about 10247.7839555682. The cubic root of 105017076 is about 471.7949710398.

Adding to 105017076 its reverse (670710501), we get a palindrome (775727577).

The spelling of 105017076 in words is "one hundred five million, seventeen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 107 137 199 214 274 321 398 411 428 548 597 642 796 822 963 1194 1233 1284 1644 1791 1926 2388 2466 3582 3852 4932 7164 14659 21293 27263 29318 42586 43977 54526 58636 63879 81789 85172 87954 109052 127758 131931 163578 175908 191637 245367 255516 263862 327156 383274 490734 527724 766548 981468 2917141 5834282 8751423 11668564 17502846 26254269 35005692 52508538 105017076