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105062076 = 22337219853
BaseRepresentation
bin1100100001100…
…01111010111100
321022200201002000
412100301322330
5203343441301
614231502300
72414004300
oct620617274
9238621060
10105062076
1154339769
122b227990
13189c6912
14dd4bd00
159354786
hex6431ebc

105062076 has 72 divisors (see below), whose sum is σ = 316869840. Its totient is φ = 30016224.

The previous prime is 105062063. The next prime is 105062101. The reversal of 105062076 is 670260501.

It is a super-3 number, since 3×1050620763 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4635 + ... + 15218.

It is an arithmetic number, because the mean of its divisors is an integer number (4400970).

Almost surely, 2105062076 is an apocalyptic number.

It is an amenable number.

105062076 is an abundant number, since it is smaller than the sum of its proper divisors (211807764).

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

105062076 is a wasteful number, since it uses less digits than its factorization.

105062076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19880 (or 19865 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105062076 is about 10249.9793170523. The cubic root of 105062076 is about 471.8623497391.

The spelling of 105062076 in words is "one hundred five million, sixty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 19853 39706 59559 79412 119118 138971 178677 238236 277942 357354 416913 536031 555884 714708 833826 972797 1072062 1250739 1667652 1945594 2144124 2501478 2918391 3752217 3891188 5002956 5836782 7504434 8755173 11673564 15008868 17510346 26265519 35020692 52531038 105062076