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105146336 = 253285823
BaseRepresentation
bin1100100010001…
…10011111100000
321022211222122202
412101012133200
5203404140321
614233352332
72414505041
oct621063740
9238758582
10105146336
1154396aa9
122b2686a8
1318a26089
14dd708c8
15936e70b
hex64467e0

105146336 has 12 divisors (see below), whose sum is σ = 207006912. Its totient is φ = 52573152.

The previous prime is 105146333. The next prime is 105146347. The reversal of 105146336 is 633641501.

It is a happy number.

It is a super-2 number, since 2×1051463362 = 22111503948449792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105146299 and 105146308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105146333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1642880 + ... + 1642943.

It is an arithmetic number, because the mean of its divisors is an integer number (17250576).

Almost surely, 2105146336 is an apocalyptic number.

105146336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105146336 is a deficient number, since it is larger than the sum of its proper divisors (101860576).

105146336 is an equidigital number, since it uses as much as digits as its factorization.

105146336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285833 (or 3285825 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 105146336 is about 10254.0887454712. The cubic root of 105146336 is about 471.9884608881.

Adding to 105146336 its reverse (633641501), we get a palindrome (738787837).

The spelling of 105146336 in words is "one hundred five million, one hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 3285823 6571646 13143292 26286584 52573168 105146336