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106703064 = 233213293931
BaseRepresentation
bin1100101110000…
…10100011011000
321102210002002100
412113002203120
5204303444224
614331003400
72433650436
oct627024330
9242702070
10106703064
115525a656
122b899560
131914c810
1410257d56
15957aac9
hex65c28d8

106703064 has 96 divisors (see below), whose sum is σ = 322030800. Its totient is φ = 31691520.

The previous prime is 106703063. The next prime is 106703083. The reversal of 106703064 is 460307601.

It is a super-2 number, since 2×1067030642 = 22771087733976192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106703063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25179 + ... + 29109.

Almost surely, 2106703064 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 106703064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161015400).

106703064 is an abundant number, since it is smaller than the sum of its proper divisors (215327736).

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

106703064 is a wasteful number, since it uses less digits than its factorization.

106703064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106703064 is about 10329.7175179189. The cubic root of 106703064 is about 474.3063767274.

The spelling of 106703064 in words is "one hundred six million, seven hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 3931 4524 6786 7862 9048 11793 13572 15724 23586 27144 31448 35379 47172 51103 70758 94344 102206 113999 141516 153309 204412 227998 283032 306618 341997 408824 455996 459927 613236 683994 911992 919854 1025991 1226472 1367988 1481987 1839708 2051982 2735976 2963974 3679416 4103964 4445961 5927948 8207928 8891922 11855896 13337883 17783844 26675766 35567688 53351532 106703064