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106430116 = 22132296189
BaseRepresentation
bin1100101011111…
…11111010100100
321102021012200011
412111333322210
5204221230431
614321100004
72431432612
oct625777244
9242235604
10106430116
1155093581
122b787604
1319085500
14101c66b2
159524cb1
hex657fea4

106430116 has 72 divisors (see below), whose sum is σ = 214439400. Its totient is φ = 46126080.

The previous prime is 106430113. The next prime is 106430123. The reversal of 106430116 is 611034601.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 95140516 + 11289600 = 9754^2 + 3360^2 .

It is a super-2 number, since 2×1064301162 = 22654739183546912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106430111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195800 + ... + 1195888.

It is an arithmetic number, because the mean of its divisors is an integer number (2978325).

Almost surely, 2106430116 is an apocalyptic number.

It is an amenable number.

106430116 is an abundant number, since it is smaller than the sum of its proper divisors (108009284).

106430116 is a wasteful number, since it uses less digits than its factorization.

106430116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106430116 is about 10316.4972737844. The cubic root of 106430116 is about 473.9016038405.

Adding to 106430116 its reverse (611034601), we get a palindrome (717464717).

The spelling of 106430116 in words is "one hundred six million, four hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 29 52 58 61 89 116 122 169 178 244 338 356 377 676 754 793 1157 1508 1586 1769 2314 2581 3172 3538 4628 4901 5162 5429 7076 9802 10309 10324 10858 15041 19604 20618 21716 22997 30082 33553 41236 45994 60164 67106 70577 91988 134212 141154 157441 282308 298961 314882 436189 597922 629764 872378 917501 1195844 1744756 1835002 2046733 3670004 4093466 8186932 26607529 53215058 106430116