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106360221 = 31125712541
BaseRepresentation
bin1100101011011…
…10110110011101
321102010122210110
412111232312131
5204212011341
614315400233
72431022052
oct625566635
9242118713
10106360221
1155046010
122b753079
131905c756
14101a9029
15950e216
hex656ed9d

106360221 has 16 divisors (see below), whose sum is σ = 155320128. Its totient is φ = 64204800.

The previous prime is 106360207. The next prime is 106360229. The reversal of 106360221 is 122063601.

It is a happy number.

It is not a de Polignac number, because 106360221 - 218 = 106098077 is a prime.

It is a super-2 number, since 2×1063602212 = 22624993222337682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106360229) 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 15 ways as a sum of consecutive naturals, for example, 2211 + ... + 14751.

It is an arithmetic number, because the mean of its divisors is an integer number (9707508).

Almost surely, 2106360221 is an apocalyptic number.

106360221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106360221 is a deficient number, since it is larger than the sum of its proper divisors (48959907).

106360221 is a wasteful number, since it uses less digits than its factorization.

106360221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12812.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106360221 is about 10313.1091820071. The cubic root of 106360221 is about 473.7978405843.

The spelling of 106360221 in words is "one hundred six million, three hundred sixty thousand, two hundred twenty-one".

Divisors: 1 3 11 33 257 771 2827 8481 12541 37623 137951 413853 3223037 9669111 35453407 106360221