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103405104 = 24321197673
BaseRepresentation
bin1100010100111…
…01011000110000
321012120112010200
412022131120300
5202432430404
614132155200
72363633415
oct612353060
9235515120
10103405104
1153407870
122a768b00
131856666a
14da3a10c
159128839
hex629d630

103405104 has 120 divisors (see below), whose sum is σ = 319427472. Its totient is φ = 30965760.

The previous prime is 103405073. The next prime is 103405109. The reversal of 103405104 is 401504301.

It is a happy number.

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 (103405109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153312 + ... + 153984.

Almost surely, 2103405104 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 103405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159713736).

103405104 is an abundant number, since it is smaller than the sum of its proper divisors (216022368).

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

103405104 is a wasteful number, since it uses less digits than its factorization.

103405104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103405104 is about 10168.8300211971. The cubic root of 103405104 is about 469.3685559897.

Adding to 103405104 its reverse (401504301), we get a palindrome (504909405).

The spelling of 103405104 in words is "one hundred three million, four hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 97 99 132 144 176 194 198 264 291 388 396 528 582 673 776 792 873 1067 1164 1346 1552 1584 1746 2019 2134 2328 2692 3201 3492 4038 4268 4656 5384 6057 6402 6984 7403 8076 8536 9603 10768 12114 12804 13968 14806 16152 17072 19206 22209 24228 25608 29612 32304 38412 44418 48456 51216 59224 65281 66627 76824 88836 96912 118448 130562 133254 153648 177672 195843 261124 266508 355344 391686 522248 533016 587529 718091 783372 1044496 1066032 1175058 1436182 1566744 2154273 2350116 2872364 3133488 4308546 4700232 5744728 6462819 8617092 9400464 11489456 12925638 17234184 25851276 34468368 51702552 103405104