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106787304 = 233213114089
BaseRepresentation
bin1100101110101…
…11000111101000
321102221100122100
412113113013220
5204314143204
614332453400
72434451151
oct627270750
9242840570
10106787304
1155307978
122b91a260
131917bc70
141027a928
159595a39
hex65d71e8

106787304 has 48 divisors (see below), whose sum is σ = 311465700. Its totient is φ = 32857344.

The previous prime is 106787299. The next prime is 106787323. The reversal of 106787304 is 403787601.

It can be written as a sum of positive squares in 2 ways, for example, as 106131204 + 656100 = 10302^2 + 810^2 .

It is a super-2 number, since 2×1067873042 = 22807056591176832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56109 + ... + 57980.

Almost surely, 2106787304 is an apocalyptic number.

It is an amenable number.

106787304 is an abundant number, since it is smaller than the sum of its proper divisors (204678396).

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

106787304 is a wasteful number, since it uses less digits than its factorization.

106787304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114114 (or 114107 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 106787304 is about 10333.7942692895. The cubic root of 106787304 is about 474.4311624569.

The spelling of 106787304 in words is "one hundred six million, seven hundred eighty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 114089 228178 342267 456356 684534 912712 1026801 1369068 1483157 2053602 2738136 2966314 4107204 4449471 5932628 8214408 8898942 11865256 13348413 17797884 26696826 35595768 53393652 106787304