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105424860 = 22352960589
BaseRepresentation
bin1100100100010…
…10011111011100
321100101010201110
412102022133130
5203442043420
614243342020
72420045052
oct622123734
9240333643
10105424860
1154567292
122b381910
1318ac2a98
14100041d2
1593c6ee0
hex648a7dc

105424860 has 48 divisors (see below), whose sum is σ = 305373600. Its totient is φ = 27143424.

The previous prime is 105424841. The next prime is 105424903. The reversal of 105424860 is 68424501.

It is a super-2 number, since 2×1054248602 = 22228802212039200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 28555 + ... + 32034.

It is an arithmetic number, because the mean of its divisors is an integer number (6361950).

Almost surely, 2105424860 is an apocalyptic number.

105424860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105424860 is an abundant number, since it is smaller than the sum of its proper divisors (199948740).

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

105424860 is a wasteful number, since it uses less digits than its factorization.

105424860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60630 (or 60628 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105424860 is about 10267.6608825964. The cubic root of 105424860 is about 472.4048463242.

The spelling of 105424860 in words is "one hundred five million, four hundred twenty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 60589 121178 181767 242356 302945 363534 605890 727068 908835 1211780 1757081 1817670 3514162 3635340 5271243 7028324 8785405 10542486 17570810 21084972 26356215 35141620 52712430 105424860