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105452300324 = 22746325933137
BaseRepresentation
bin110001000110101110…
…0100110100000100100
3101002012011002220012202
41202031130212200210
53211431242102244
6120235532434032
710422130522550
oct1421534464044
9332164086182
10105452300324
11407a4090028
121852b918918
139c37292057
14516521c860
152b22c3604e
hex188d726824

105452300324 has 48 divisors (see below), whose sum is σ = 211509032448. Its totient is φ = 45064470528.

The previous prime is 105452300297. The next prime is 105452300341. The reversal of 105452300324 is 423003254501.

It is a happy number.

It is a super-2 number, since 2×1054523003242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33614084 + ... + 33617220.

It is an arithmetic number, because the mean of its divisors is an integer number (4406438176).

Almost surely, 2105452300324 is an apocalyptic number.

105452300324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105452300324 is an abundant number, since it is smaller than the sum of its proper divisors (106056732124).

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

105452300324 is a wasteful number, since it uses less digits than its factorization.

105452300324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 105452300324 its reverse (423003254501), we get a palindrome (528455554825).

The spelling of 105452300324 in words is "one hundred five billion, four hundred fifty-two million, three hundred thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 463 926 1852 2593 3137 3241 5186 6274 6482 10372 12548 12964 18151 21959 36302 43918 72604 87836 1200559 1452431 2401118 2904862 4802236 5809724 8134241 8403913 10167017 16268482 16807826 20334034 32536964 33615652 40668068 56939687 113879374 227758748 3766153583 7532307166 15064614332 26363075081 52726150162 105452300324