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105542240 = 255659639
BaseRepresentation
bin1100100101001…
…11001001100000
321100121002201212
412102213021200
5204004322430
614250045252
72421044216
oct622471140
9240532655
10105542240
11546374a1
122b419828
1318b3433b
1410034cb6
1593ebb95
hex64a7260

105542240 has 24 divisors (see below), whose sum is σ = 249343920. Its totient is φ = 42216832.

The previous prime is 105542233. The next prime is 105542257. The reversal of 105542240 is 42245501.

It is a happy number.

It is a super-2 number, since 2×1055422402 = 22278328848435200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329660 + ... + 329979.

It is an arithmetic number, because the mean of its divisors is an integer number (10389330).

Almost surely, 2105542240 is an apocalyptic number.

105542240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105542240 is an abundant number, since it is smaller than the sum of its proper divisors (143801680).

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

105542240 is an equidigital number, since it uses as much as digits as its factorization.

105542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659654 (or 659646 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 105542240 is about 10273.3752973402. The cubic root of 105542240 is about 472.5801064223.

Adding to 105542240 its reverse (42245501), we get a palindrome (147787741).

The spelling of 105542240 in words is "one hundred five million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 659639 1319278 2638556 3298195 5277112 6596390 10554224 13192780 21108448 26385560 52771120 105542240