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103520664 = 233213195821
BaseRepresentation
bin1100010101110…
…01100110011000
321012210101122200
412022321212120
5203000130124
614134450200
72364624342
oct612714630
9235711580
10103520664
1153486675
122a803960
13185a7140
14da6a292
15914cbc9
hex62b9998

103520664 has 96 divisors (see below), whose sum is σ = 317881200. Its totient is φ = 30170880.

The previous prime is 103520629. The next prime is 103520689. The reversal of 103520664 is 466025301.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14874 + ... + 20694.

Almost surely, 2103520664 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 103520664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158940600).

103520664 is an abundant number, since it is smaller than the sum of its proper divisors (214360536).

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

103520664 is a wasteful number, since it uses less digits than its factorization.

103520664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 103520664 is about 10174.5105041963. The cubic root of 103520664 is about 469.5433379410.

Adding to 103520664 its reverse (466025301), we get a palindrome (569545965).

The spelling of 103520664 in words is "one hundred three million, five hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5821 5928 8892 11642 17463 17784 23284 34926 46568 52389 69852 75673 104778 110599 139704 151346 209556 221198 227019 302692 331797 419112 442396 454038 605384 663594 681057 884792 908076 995391 1327188 1362114 1437787 1816152 1990782 2654376 2724228 2875574 3981564 4313361 5448456 5751148 7963128 8626722 11502296 12940083 17253444 25880166 34506888 51760332 103520664