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105542300 = 22521055423
BaseRepresentation
bin1100100101001…
…11001010011100
321100121002211002
412102213022130
5204004323200
614250045432
72421044333
oct622471234
9240532732
10105542300
1154637546
122b419878
1318b34386
1410034d1a
1593ebbd5
hex64a729c

105542300 has 18 divisors (see below), whose sum is σ = 229027008. Its totient is φ = 42216880.

The previous prime is 105542299. The next prime is 105542309. The reversal of 105542300 is 3245501.

It is a super-2 number, since 2×1055423002 = 22278354178580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105542309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 527612 + ... + 527811.

Almost surely, 2105542300 is an apocalyptic number.

105542300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105542300 is an abundant number, since it is smaller than the sum of its proper divisors (123484708).

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

105542300 is a wasteful number, since it uses less digits than its factorization.

105542300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055437 (or 1055430 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105542300 is about 10273.3782175096. The cubic root of 105542300 is about 472.5801959751.

Adding to 105542300 its reverse (3245501), we get a palindrome (108787801).

The spelling of 105542300 in words is "one hundred five million, five hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1055423 2110846 4221692 5277115 10554230 21108460 26385575 52771150 105542300