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103664988 = 223372191031
BaseRepresentation
bin1100010110111…
…00110101011100
321020001201122000
412023130311130
5203014234423
614141522300
72366065200
oct613346534
9236051560
10103664988
1153575049
122a873390
1318627a3b
14daa6b00
15917a843
hex62dcd5c

103664988 has 144 divisors (see below), whose sum is σ = 329414400. Its totient is φ = 28032480.

The previous prime is 103664983. The next prime is 103664989. The reversal of 103664988 is 889466301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103664983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100033 + ... + 101063.

It is an arithmetic number, because the mean of its divisors is an integer number (2287600).

Almost surely, 2103664988 is an apocalyptic number.

103664988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103664988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164707200).

103664988 is an abundant number, since it is smaller than the sum of its proper divisors (225749412).

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

103664988 is a wasteful number, since it uses less digits than its factorization.

103664988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 103664988 is about 10181.6004635814. The cubic root of 103664988 is about 469.7614422374.

The spelling of 103664988 in words is "one hundred three million, six hundred sixty-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1031 1197 1323 1596 1764 1862 2052 2062 2394 2646 2793 3093 3591 3724 4124 4788 5292 5586 6186 7182 7217 8379 9279 11172 12372 14364 14434 16758 18558 19589 21651 25137 27837 28868 33516 37116 39178 43302 50274 50519 55674 58767 64953 78356 86604 100548 101038 111348 117534 129906 137123 151557 176301 194859 202076 235068 259812 274246 303114 352602 389718 411369 454671 528903 548492 606228 705204 779436 822738 909342 959861 1057806 1234107 1364013 1645476 1818684 1919722 2115612 2468214 2728026 2879583 3702321 3839444 4936428 5456052 5759166 7404642 8638749 11518332 14809284 17277498 25916247 34554996 51832494 103664988