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103305076 = 22729241107
BaseRepresentation
bin1100010100001…
…00111101110100
321012101102220221
412022010331310
5202421230301
614130104124
72363035660
oct612047564
9235342827
10103305076
11533496a6
122a71b044
131852cc84
14da118a0
159108da1
hex6284f74

103305076 has 72 divisors (see below), whose sum is σ = 221247936. Its totient is φ = 41314560.

The previous prime is 103305019. The next prime is 103305091. The reversal of 103305076 is 670503301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103305076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 965415 + ... + 965521.

It is an arithmetic number, because the mean of its divisors is an integer number (3072888).

Almost surely, 2103305076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103305076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110623968).

103305076 is an abundant number, since it is smaller than the sum of its proper divisors (117942860).

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

103305076 is a wasteful number, since it uses less digits than its factorization.

103305076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 103305076 is about 10163.9104679252. The cubic root of 103305076 is about 469.2171606745.

Adding to 103305076 its reverse (670503301), we get a palindrome (773808377).

The spelling of 103305076 in words is "one hundred three million, three hundred five thousand, seventy-six".

Divisors: 1 2 4 7 14 28 29 41 58 82 107 116 164 203 214 287 406 428 574 749 812 841 1148 1189 1498 1682 2378 2996 3103 3364 4387 4756 5887 6206 8323 8774 11774 12412 16646 17548 21721 23548 30709 33292 34481 43442 61418 68962 86884 89987 122836 127223 137924 179974 241367 254446 359948 482734 508892 629909 890561 965468 1259818 1781122 2519636 3562244 3689467 7378934 14757868 25826269 51652538 103305076