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106284645 = 32516714143
BaseRepresentation
bin1100101010111…
…00011001100101
321101222211010100
412111130121211
5204202102040
614314014313
72430255525
oct625343145
9241884110
10106284645
1154aa4255
122b717399
131903422c
1410189685
1594e6b30
hex655c665

106284645 has 24 divisors (see below), whose sum is σ = 185342976. Its totient is φ = 56341728.

The previous prime is 106284643. The next prime is 106284667. The reversal of 106284645 is 546482601.

106284645 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 4 + 645 = 666.

It is not a de Polignac number, because 106284645 - 21 = 106284643 is a prime.

It is a super-2 number, since 2×1062846452 = 22592851525552050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106284641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444 + ... + 14586.

It is an arithmetic number, because the mean of its divisors is an integer number (7722624).

Almost surely, 2106284645 is an apocalyptic number.

106284645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106284645 is a deficient number, since it is larger than the sum of its proper divisors (79058331).

106284645 is a wasteful number, since it uses less digits than its factorization.

106284645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14321 (or 14318 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 106284645 is about 10309.4444564196. Note that the first 4 decimals coincide. The cubic root of 106284645 is about 473.6855923839.

It can be divided in two parts, 106284 and 645, that added together give a square (106929 = 3272).

The spelling of 106284645 in words is "one hundred six million, two hundred eighty-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 167 501 835 1503 2505 7515 14143 42429 70715 127287 212145 636435 2361881 7085643 11809405 21256929 35428215 106284645