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105236416 = 261918609
BaseRepresentation
bin1100100010111…
…00011111000000
321100000120020001
412101130133000
5203420031131
614235325344
72415331465
oct621343700
9240016201
10105236416
115444874a
122b2b0854
1318a5808c
14dd9566c
15938b261
hex645c7c0

105236416 has 28 divisors (see below), whose sum is σ = 209946240. Its totient is φ = 52336640.

The previous prime is 105236401. The next prime is 105236423. The reversal of 105236416 is 614632501.

It is a super-2 number, since 2×1052364162 = 22149406505050112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7920 + ... + 16528.

It is an arithmetic number, because the mean of its divisors is an integer number (7498080).

Almost surely, 2105236416 is an apocalyptic number.

105236416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105236416 is a deficient number, since it is larger than the sum of its proper divisors (104709824).

105236416 is an equidigital number, since it uses as much as digits as its factorization.

105236416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8812 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 105236416 is about 10258.4801993278. The cubic root of 105236416 is about 472.1232082837.

Adding to 105236416 its reverse (614632501), we get a palindrome (719868917).

The spelling of 105236416 in words is "one hundred five million, two hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 191 382 764 1528 3056 6112 8609 12224 17218 34436 68872 137744 275488 550976 1644319 3288638 6577276 13154552 26309104 52618208 105236416