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105285076 = 221323471873
BaseRepresentation
bin1100100011010…
…00010111010100
321100010000222021
412101220113110
5203423110301
614240342524
72415623401
oct621502724
9240100867
10105285076
1154481266
122b314a44
1318a74280
14dda92a8
15939a8a1
hex64685d4

105285076 has 48 divisors (see below), whose sum is σ = 211567104. Its totient is φ = 45467136.

The previous prime is 105285071. The next prime is 105285077. The reversal of 105285076 is 670582501.

It is a super-2 number, since 2×1052850762 = 22169894456651552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105285071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55276 + ... + 57148.

It is an arithmetic number, because the mean of its divisors is an integer number (4407648).

Almost surely, 2105285076 is an apocalyptic number.

It is an amenable number.

105285076 is an abundant number, since it is smaller than the sum of its proper divisors (106282028).

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

105285076 is a wasteful number, since it uses less digits than its factorization.

105285076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 105285076 is about 10260.8516215761. The cubic root of 105285076 is about 472.1959650227.

The spelling of 105285076 in words is "one hundred five million, two hundred eighty-five thousand, seventy-six".

Divisors: 1 2 4 13 23 26 46 47 52 92 94 188 299 598 611 1081 1196 1222 1873 2162 2444 3746 4324 7492 14053 24349 28106 43079 48698 56212 86158 88031 97396 172316 176062 352124 560027 1120054 1144403 2024713 2240108 2288806 4049426 4577612 8098852 26321269 52642538 105285076