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106430247 = 3371151193
BaseRepresentation
bin1100101011111…
…11111100100111
321102021012212000
412111333330213
5204221231442
614321100343
72431433160
oct625777447
9242235760
10106430247
1155093690
122b7876b3
13190855a1
14101c6767
159524d4c
hex657ff27

106430247 has 32 divisors (see below), whose sum is σ = 196584960. Its totient is φ = 55287360.

The previous prime is 106430227. The next prime is 106430249. The reversal of 106430247 is 742034601.

106430247 is a `hidden beast` number, since 10 + 643 + 0 + 2 + 4 + 7 = 666.

It is not a de Polignac number, because 106430247 - 210 = 106429223 is a prime.

It is a super-2 number, since 2×1064302472 = 22654794952962018, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106430247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106430249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23518 + ... + 27675.

It is an arithmetic number, because the mean of its divisors is an integer number (6143280).

Almost surely, 2106430247 is an apocalyptic number.

106430247 is a deficient number, since it is larger than the sum of its proper divisors (90154713).

106430247 is a wasteful number, since it uses less digits than its factorization.

106430247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51220 (or 51214 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 106430247 is about 10316.5036228366. The cubic root of 106430247 is about 473.9017982751.

Adding to 106430247 its reverse (742034601), we get a palindrome (848464848).

The spelling of 106430247 in words is "one hundred six million, four hundred thirty thousand, two hundred forty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 51193 153579 358351 460737 563123 1075053 1382211 1689369 3225159 3941861 5068107 9675477 11825583 15204321 35476749 106430247