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105114432 = 263547471
BaseRepresentation
bin1100100001111…
…10101101000000
321022210100220010
412100332231000
5203402130212
614232544520
72414313033
oct620765500
9238710803
10105114432
1154375035
122b252140
1318a146b7
14dd6301a
15936503c
hex643eb40

105114432 has 28 divisors (see below), whose sum is σ = 278115776. Its totient is φ = 35038080.

The previous prime is 105114431. The next prime is 105114433. The reversal of 105114432 is 234411501.

It is an interprime number because it is at equal distance from previous prime (105114431) and next prime (105114433).

It is a super-2 number, since 2×1051144322 = 22098087629365248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105114399 and 105114408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105114431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273544 + ... + 273927.

Almost surely, 2105114432 is an apocalyptic number.

105114432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105114432 is an abundant number, since it is smaller than the sum of its proper divisors (173001344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105114432 is an equidigital number, since it uses as much as digits as its factorization.

105114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547486 (or 547476 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105114432 is about 10252.5329553238. The cubic root of 105114432 is about 471.9407183998.

Adding to 105114432 its reverse (234411501), we get a palindrome (339525933).

The spelling of 105114432 in words is "one hundred five million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 547471 1094942 1642413 2189884 3284826 4379768 6569652 8759536 13139304 17519072 26278608 35038144 52557216 105114432