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104121144 = 233261151157
BaseRepresentation
bin1100011010011…
…00001100111000
321020220220100200
412031030030320
5203123334034
614155402200
72403005121
oct615141470
9236826320
10104121144
1153856836
122aa53360
131875755a
14db85048
15921aa99
hex634c338

104121144 has 96 divisors (see below), whose sum is σ = 290353440. Its totient is φ = 33696000.

The previous prime is 104121139. The next prime is 104121151. The reversal of 104121144 is 441121401.

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

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, 663114 + ... + 663270.

It is an arithmetic number, because the mean of its divisors is an integer number (3024515).

Almost surely, 2104121144 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 104121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145176720).

104121144 is an abundant number, since it is smaller than the sum of its proper divisors (186232296).

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

104121144 is a wasteful number, since it uses less digits than its factorization.

104121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 104121144 is about 10203.9768717888. The cubic root of 104121144 is about 470.4494629023.

Adding to 104121144 its reverse (441121401), we get a palindrome (545242545).

The spelling of 104121144 in words is "one hundred four million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 151 157 183 244 302 314 366 453 471 488 549 604 628 732 906 942 1098 1208 1256 1359 1413 1464 1812 1884 2196 2718 2826 3624 3768 4392 5436 5652 9211 9577 10872 11304 18422 19154 23707 27633 28731 36844 38308 47414 55266 57462 71121 73688 76616 82899 86193 94828 110532 114924 142242 165798 172386 189656 213363 221064 229848 284484 331596 344772 426726 568968 663192 689544 853452 1446127 1706904 2892254 4338381 5784508 8676762 11569016 13015143 17353524 26030286 34707048 52060572 104121144