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105102010 = 25135971193
BaseRepresentation
bin1100100001110…
…11101010111010
321022202201212001
412100323222322
5203401231020
614232411214
72414231566
oct620735272
9238681761
10105102010
1154366772
122b246b0a
1318a0bb50
14dd5c6a6
15936150a
hex643baba

105102010 has 64 divisors (see below), whose sum is σ = 211196160. Its totient is φ = 37416960.

The previous prime is 105101989. The next prime is 105102017. The reversal of 105102010 is 10201501.

It is a happy number.

It is a super-2 number, since 2×1051020102 = 22092865012080200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (105102017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544474 + ... + 544666.

It is an arithmetic number, because the mean of its divisors is an integer number (3299940).

Almost surely, 2105102010 is an apocalyptic number.

105102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105102010 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

105102010 is a wasteful number, since it uses less digits than its factorization.

105102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343.

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 105102010 is about 10251.9271359096. The cubic root of 105102010 is about 471.9221269833.

Adding to 105102010 its reverse (10201501), we get a palindrome (115303511).

The spelling of 105102010 in words is "one hundred five million, one hundred two thousand, ten".

Divisors: 1 2 5 10 13 26 59 65 71 118 130 142 193 295 355 386 590 710 767 923 965 1534 1846 1930 2509 3835 4189 4615 5018 7670 8378 9230 11387 12545 13703 20945 22774 25090 27406 41890 54457 56935 68515 108914 113870 137030 148031 178139 272285 296062 356278 544570 740155 808477 890695 1480310 1616954 1781390 4042385 8084770 10510201 21020402 52551005 105102010