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105232431 = 31719131829
BaseRepresentation
bin1100100010110…
…11100000101111
321100000100202110
412101123200233
5203414414211
614235255103
72415314043
oct621334057
9240010673
10105232431
1154445757
122b2aa493
1318a56315
14dd94023
159389ea6
hex645b82f

105232431 has 32 divisors (see below), whose sum is σ = 157766400. Its totient is φ = 62000640.

The previous prime is 105232399. The next prime is 105232441. The reversal of 105232431 is 134232501.

It is not a de Polignac number, because 105232431 - 25 = 105232399 is a prime.

It is a super-2 number, since 2×1052324312 = 22147729068339522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105232398 and 105232407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126525 + ... + 127353.

It is an arithmetic number, because the mean of its divisors is an integer number (4930200).

Almost surely, 2105232431 is an apocalyptic number.

105232431 is a deficient number, since it is larger than the sum of its proper divisors (52533969).

105232431 is a wasteful number, since it uses less digits than its factorization.

105232431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105232431 is about 10258.2859679383. The cubic root of 105232431 is about 472.1172488931.

Adding to 105232431 its reverse (134232501), we get a palindrome (239464932).

The spelling of 105232431 in words is "one hundred five million, two hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 17 19 51 57 131 323 393 829 969 2227 2487 2489 6681 7467 14093 15751 42279 42313 47253 108599 126939 267767 325797 803301 1846183 2063381 5538549 6190143 35077477 105232431