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106431103 = 19359263
BaseRepresentation
bin1100101100000…
…00001001111111
321102021021000201
412112000021333
5204221243403
614321104331
72431435522
oct626001177
9242237021
10106431103
1155094299
122b7880a7
1319085aac
14101c6bb9
15952521d
hex658027f

106431103 has 16 divisors (see below), whose sum is σ = 114681600. Its totient is φ = 98743608.

The previous prime is 106431089. The next prime is 106431107. The reversal of 106431103 is 301134601.

It is not a de Polignac number, because 106431103 - 25 = 106431071 is a prime.

It is a super-2 number, since 2×1064311032 = 22655159371593218, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106431107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404550 + ... + 404812.

It is an arithmetic number, because the mean of its divisors is an integer number (7167600).

Almost surely, 2106431103 is an apocalyptic number.

106431103 is a deficient number, since it is larger than the sum of its proper divisors (8250497).

106431103 is an frugal number, since it uses more digits than its factorization.

106431103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 106431103 is about 10316.5451096770. The cubic root of 106431103 is about 473.9030687750.

Adding to 106431103 its reverse (301134601), we get a palindrome (407565704).

The spelling of 106431103 in words is "one hundred six million, four hundred thirty-one thousand, one hundred three".

Divisors: 1 19 59 263 361 1121 4997 6859 15517 21299 94943 294823 404681 1803917 5601637 106431103