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103063104 = 2636472
BaseRepresentation
bin1100010010010…
…01111001000000
321011221011000000
412021021321000
5202341004404
614121000000
72361010344
oct611117100
9234834000
10103063104
11531a3921
122a623000
1318476ab1
14d98b624
1590ac339
hex6249e40

103063104 has 147 divisors (see below), whose sum is σ = 313296427. Its totient is φ = 33623424.

The previous prime is 103063091. The next prime is 103063109. The reversal of 103063104 is 401360301.

The square root of 103063104 is 10152.

It is a perfect power (a square), and thus also a powerful number.

103063104 is a `hidden beast` number, since 1 + 0 + 30 + 631 + 0 + 4 = 666.

It is a super-2 number, since 2×1030631042 = 21244006812229632, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103063109) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2192809 + ... + 2192855.

Almost surely, 2103063104 is an apocalyptic number.

103063104 is the 10152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103063104

103063104 is an abundant number, since it is smaller than the sum of its proper divisors (210233323).

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

103063104 is an frugal number, since it uses more digits than its factorization.

103063104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The cubic root of 103063104 is about 468.8505243608.

The spelling of 103063104 in words is "one hundred three million, sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 141 144 162 188 192 216 243 282 288 324 376 423 432 486 564 576 648 729 752 846 864 972 1128 1269 1296 1458 1504 1692 1728 1944 2209 2256 2538 2592 2916 3008 3384 3807 3888 4418 4512 5076 5184 5832 6627 6768 7614 7776 8836 9024 10152 11421 11664 13254 13536 15228 15552 17672 19881 20304 22842 23328 26508 27072 30456 34263 35344 39762 40608 45684 46656 53016 59643 60912 68526 70688 79524 81216 91368 106032 119286 121824 137052 141376 159048 178929 182736 212064 238572 243648 274104 318096 357858 365472 424128 477144 536787 548208 636192 715716 730944 954288 1073574 1096416 1272384 1431432 1610361 1908576 2147148 2192832 2862864 3220722 3817152 4294296 5725728 6441444 8588592 11451456 12882888 17177184 25765776 34354368 51531552 103063104