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105503216 = 2471372461
BaseRepresentation
bin1100100100111…
…01100111110000
321100112010012112
412102131213300
5204002100331
614245144452
72420522360
oct622354760
9240463175
10105503216
1154610145
122b3bb128
1318b1c650
14100249a0
1593e032b
hex649d9f0

105503216 has 40 divisors (see below), whose sum is σ = 251588064. Its totient is φ = 41736960.

The previous prime is 105503201. The next prime is 105503263. The reversal of 105503216 is 612305501.

It is a super-2 number, since 2×1055032162 = 22261857172685312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105503191 and 105503200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34775 + ... + 37686.

Almost surely, 2105503216 is an apocalyptic number.

105503216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105503216 is an abundant number, since it is smaller than the sum of its proper divisors (146084848).

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

105503216 is a wasteful number, since it uses less digits than its factorization.

105503216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72489 (or 72483 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105503216 is about 10271.4758433246. The cubic root of 105503216 is about 472.5218541071.

Adding to 105503216 its reverse (612305501), we get a palindrome (717808717).

The spelling of 105503216 in words is "one hundred five million, five hundred three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 72461 144922 289844 507227 579688 941993 1014454 1159376 1883986 2028908 3767972 4057816 6593951 7535944 8115632 13187902 15071888 26375804 52751608 105503216