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105730368 = 263550679
BaseRepresentation
bin1100100110101…
…01000101000000
321100221122210120
412103111011000
5204031332433
614254100240
72422456542
oct623250500
9240848716
10105730368
1154755877
122b4aa680
1318b9bb63
1410083692
1594377b3
hex64d5140

105730368 has 28 divisors (see below), whose sum is σ = 279745440. Its totient is φ = 35243392.

The previous prime is 105730363. The next prime is 105730369. The reversal of 105730368 is 863037501.

It is a happy number.

It is a super-2 number, since 2×1057303682 = 22357821434830848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105730363) 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, 275148 + ... + 275531.

Almost surely, 2105730368 is an apocalyptic number.

It is an amenable number.

105730368 is an abundant number, since it is smaller than the sum of its proper divisors (174015072).

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

105730368 is an equidigital number, since it uses as much as digits as its factorization.

105730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550694 (or 550684 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 105730368 is about 10282.5273157916. The cubic root of 105730368 is about 472.8607295424.

Adding to 105730368 its reverse (863037501), we get a palindrome (968767869).

The spelling of 105730368 in words is "one hundred five million, seven hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 550679 1101358 1652037 2202716 3304074 4405432 6608148 8810864 13216296 17621728 26432592 35243456 52865184 105730368