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105102300 = 223521918439
BaseRepresentation
bin1100100001110…
…11101111011100
321022202202020210
412100323233130
5203401233200
614232412420
72414232462
oct620735734
9238682223
10105102300
1154366a06
122b247110
1318a0c014
14dd5c832
159361650
hex643bbdc

105102300 has 72 divisors (see below), whose sum is σ = 320118400. Its totient is φ = 26550720.

The previous prime is 105102299. The next prime is 105102331. The reversal of 105102300 is 3201501.

It is a super-2 number, since 2×1051023002 = 22092986930580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3520 + ... + 14919.

Almost surely, 2105102300 is an apocalyptic number.

105102300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105102300 is an abundant number, since it is smaller than the sum of its proper divisors (215016100).

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

105102300 is a wasteful number, since it uses less digits than its factorization.

105102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18475 (or 18468 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105102300 is about 10251.9412795821. The cubic root of 105102300 is about 471.9225610292.

Adding to 105102300 its reverse (3201501), we get a palindrome (108303801).

The spelling of 105102300 in words is "one hundred five million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 18439 36878 55317 73756 92195 110634 184390 221268 276585 350341 368780 460975 553170 700682 921950 1051023 1106340 1382925 1401364 1751705 1843900 2102046 2765850 3503410 4204092 5255115 5531700 7006820 8758525 10510230 17517050 21020460 26275575 35034100 52551150 105102300