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106130431 = 112877111
BaseRepresentation
bin1100101001101…
…10101111111111
321101200222120201
412110312233333
5204132133211
614310424331
72426044111
oct624665777
9241628521
10106130431
11549a9400
122b6620a7
1318cabc94
14101493b1
1594b60c1
hex6536bff

106130431 has 6 divisors (see below), whose sum is σ = 116655896. Its totient is φ = 96482100.

The previous prime is 106130369. The next prime is 106130443. The reversal of 106130431 is 134031601.

It is not a de Polignac number, because 106130431 - 211 = 106128383 is a prime.

It is a super-2 number, since 2×1061304312 = 22527336768491522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106130399 and 106130408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106130491) 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 5 ways as a sum of consecutive naturals, for example, 438435 + ... + 438676.

Almost surely, 2106130431 is an apocalyptic number.

106130431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106130431 is a deficient number, since it is larger than the sum of its proper divisors (10525465).

106130431 is an equidigital number, since it uses as much as digits as its factorization.

106130431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877133 (or 877122 counting only the distinct ones).

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

The square root of 106130431 is about 10301.9624829447. The cubic root of 106130431 is about 473.4563830168.

The spelling of 106130431 in words is "one hundred six million, one hundred thirty thousand, four hundred thirty-one".

Divisors: 1 11 121 877111 9648221 106130431