Search a number
-
+
106306525 = 52131771271
BaseRepresentation
bin1100101011000…
…01101111011101
321102000221010201
412111201233131
5204203302100
614314303501
72430406363
oct625415735
9242027121
10106306525
1155009736
122b727b91
1319041190
1410193633
1594ed36a
hex6561bdd

106306525 has 48 divisors (see below), whose sum is σ = 152990208. Its totient is φ = 72576000.

The previous prime is 106306511. The next prime is 106306531. The reversal of 106306525 is 525603601.

It is not a de Polignac number, because 106306525 - 217 = 106175453 is a prime.

It is a super-2 number, since 2×1063065252 = 22602154515151250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106306493 and 106306502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392140 + ... + 392410.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296).

Almost surely, 2106306525 is an apocalyptic number.

It is an amenable number.

106306525 is a deficient number, since it is larger than the sum of its proper divisors (46683683).

106306525 is a wasteful number, since it uses less digits than its factorization.

106306525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 106306525 is about 10310.5055647141. The cubic root of 106306525 is about 473.7180948200.

The spelling of 106306525 in words is "one hundred six million, three hundred six thousand, five hundred twenty-five".

Divisors: 1 5 13 17 25 65 71 85 221 271 325 355 425 923 1105 1207 1355 1775 3523 4607 4615 5525 6035 6775 15691 17615 19241 23035 23075 30175 59891 78455 88075 96205 115175 250133 299455 327097 392275 481025 1250665 1497275 1635485 4252261 6253325 8177425 21261305 106306525