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105432431 = 1343188609
BaseRepresentation
bin1100100100011…
…00010101101111
321100101112002212
412102030111233
5203442314211
614243441035
72420106116
oct622142557
9240345085
10105432431
1154571a45
122b38617b
1318ac6370
1410006c7d
1593c938b
hex648c56f

105432431 has 8 divisors (see below), whose sum is σ = 116183760. Its totient is φ = 95058432.

The previous prime is 105432427. The next prime is 105432449. The reversal of 105432431 is 134234501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105432431 - 22 = 105432427 is a prime.

It is a super-2 number, since 2×1054324312 = 22231995013139522, 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 = 105432397 and 105432406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105432491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93746 + ... + 94863.

It is an arithmetic number, because the mean of its divisors is an integer number (14522970).

Almost surely, 2105432431 is an apocalyptic number.

105432431 is a deficient number, since it is larger than the sum of its proper divisors (10751329).

105432431 is a wasteful number, since it uses less digits than its factorization.

105432431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188665.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 105432431 is about 10268.0295578071. The cubic root of 105432431 is about 472.4161545093.

Adding to 105432431 its reverse (134234501), we get a palindrome (239666932).

The spelling of 105432431 in words is "one hundred five million, four hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 13 43 559 188609 2451917 8110187 105432431