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104021316 = 223272109541
BaseRepresentation
bin1100011001100…
…11110101000100
321020201211102100
412030303311010
5203112140231
614153312100
72402111100
oct614636504
9236654370
10104021316
1153798833
122aa05630
1318720c99
14db5a900
1591eb1e6
hex6333d44

104021316 has 108 divisors (see below), whose sum is σ = 309248940. Its totient is φ = 29393280.

The previous prime is 104021311. The next prime is 104021329. The reversal of 104021316 is 613120401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 46867716 = 7560^2 + 6846^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104021311) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 192006 + ... + 192546.

Almost surely, 2104021316 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 104021316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154624470).

104021316 is an abundant number, since it is smaller than the sum of its proper divisors (205227624).

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

104021316 is a wasteful number, since it uses less digits than its factorization.

104021316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104021316 is about 10199.0840765237. The cubic root of 104021316 is about 470.2990642277.

Adding to 104021316 its reverse (613120401), we get a palindrome (717141717).

The spelling of 104021316 in words is "one hundred four million, twenty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 109 126 147 196 218 252 294 327 436 441 541 588 654 763 882 981 1082 1308 1526 1623 1764 1962 2164 2289 3052 3246 3787 3924 4578 4869 5341 6492 6867 7574 9156 9738 10682 11361 13734 15148 16023 19476 21364 22722 26509 27468 32046 34083 45444 48069 53018 58969 64092 68166 79527 96138 106036 117938 136332 159054 176907 192276 235876 238581 318108 353814 412783 477162 530721 707628 825566 954324 1061442 1238349 1651132 2122884 2476698 2889481 3715047 4953396 5778962 7430094 8668443 11557924 14860188 17336886 26005329 34673772 52010658 104021316