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106430310 = 23257168937
BaseRepresentation
bin1100101011111…
…11111101100110
321102021012221100
412111333331212
5204221232220
614321100530
72431433310
oct625777546
9242235840
10106430310
1155093738
122b787746
131908561c
14101c67b0
159524d90
hex657ff66

106430310 has 48 divisors (see below), whose sum is σ = 316251936. Its totient is φ = 24326784.

The previous prime is 106430297. The next prime is 106430321. The reversal of 106430310 is 13034601.

106430310 is a `hidden beast` number, since 10 + 643 + 0 + 3 + 10 = 666.

It is a super-2 number, since 2×1064303102 = 22654821773392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83839 + ... + 85098.

It is an arithmetic number, because the mean of its divisors is an integer number (6588582).

Almost surely, 2106430310 is an apocalyptic number.

106430310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106430310 is an abundant number, since it is smaller than the sum of its proper divisors (209821626).

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

106430310 is a wasteful number, since it uses less digits than its factorization.

106430310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168957 (or 168954 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106430310 is about 10316.5066761962. The cubic root of 106430310 is about 473.9018917818.

Adding to 106430310 its reverse (13034601), we get a palindrome (119464911).

The spelling of 106430310 in words is "one hundred six million, four hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 168937 337874 506811 844685 1013622 1182559 1520433 1689370 2365118 2534055 3040866 3547677 5068110 5912795 7095354 7602165 10643031 11825590 15204330 17738385 21286062 35476770 53215155 106430310