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106000524 = 22327260091
BaseRepresentation
bin1100101000101…
…11000010001100
321101110101101100
412110113002030
5204114004044
614303543100
72424663300
oct624270214
9241411340
10106000524
115491a843
122b5baa90
1318c64b06
1410113d00
15948c869
hex651708c

106000524 has 54 divisors (see below), whose sum is σ = 311697204. Its totient is φ = 30285360.

The previous prime is 106000507. The next prime is 106000549. The reversal of 106000524 is 425000601.

It is a happy number.

106000524 is a `hidden beast` number, since 10 + 600 + 0 + 52 + 4 = 666.

It is a super-2 number, since 2×1060005242 = 22472222176549152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106000497 and 106000506.

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 17 ways as a sum of consecutive naturals, for example, 28282 + ... + 31809.

Almost surely, 2106000524 is an apocalyptic number.

106000524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106000524 is an abundant number, since it is smaller than the sum of its proper divisors (205696680).

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

106000524 is a wasteful number, since it uses less digits than its factorization.

106000524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60115 (or 60103 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106000524 is about 10295.6555886451. The cubic root of 106000524 is about 473.2631289562.

The spelling of 106000524 in words is "one hundred six million, five hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 60091 120182 180273 240364 360546 420637 540819 721092 841274 1081638 1261911 1682548 2163276 2523822 2944459 3785733 5047644 5888918 7571466 8833377 11777836 15142932 17666754 26500131 35333508 53000262 106000524