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106002304 = 275091627
BaseRepresentation
bin1100101000101…
…11011110000000
321101110110211021
412110113132000
5204114033204
614303555224
72425001422
oct624273600
9241413737
10106002304
1154921111
122b5bbb14
1318c65875
1410114812
15948d154
hex6517780

106002304 has 32 divisors (see below), whose sum is σ = 211721400. Its totient is φ = 52864512.

The previous prime is 106002301. The next prime is 106002307. The reversal of 106002304 is 403200601.

It is an interprime number because it is at equal distance from previous prime (106002301) and next prime (106002307).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1060023042 = 22472976906616832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106002301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64339 + ... + 65965.

Almost surely, 2106002304 is an apocalyptic number.

It is an amenable number.

106002304 is a deficient number, since it is larger than the sum of its proper divisors (105719096).

106002304 is an equidigital number, since it uses as much as digits as its factorization.

106002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 106002304 is about 10295.7420325103. The cubic root of 106002304 is about 473.2657780112.

Adding to 106002304 its reverse (403200601), we get a palindrome (509202905).

The spelling of 106002304 in words is "one hundred six million, two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 509 1018 1627 2036 3254 4072 6508 8144 13016 16288 26032 32576 52064 65152 104128 208256 828143 1656286 3312572 6625144 13250288 26500576 53001152 106002304