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106661625 = 3537179227
BaseRepresentation
bin1100101101110…
…00011011111001
321102200222020120
412112320123321
5204301133000
614330043453
72433415560
oct626703371
9242628216
10106661625
1155231504
122b879589
13191369b5
1410246bd7
15956d6a0
hex65b86f9

106661625 has 64 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 48273600.

The previous prime is 106661609. The next prime is 106661663. The reversal of 106661625 is 526166601.

It is not a de Polignac number, because 106661625 - 24 = 106661609 is a prime.

It is a super-2 number, since 2×1066616252 = 22753404495281250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469762 + ... + 469988.

It is an arithmetic number, because the mean of its divisors is an integer number (3201120).

Almost surely, 2106661625 is an apocalyptic number.

106661625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106661625 is a deficient number, since it is larger than the sum of its proper divisors (98210055).

106661625 is a wasteful number, since it uses less digits than its factorization.

106661625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 106661625 is about 10327.7115083643. The cubic root of 106661625 is about 474.2449685349.

The spelling of 106661625 in words is "one hundred six million, six hundred sixty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 179 227 375 525 537 681 875 895 1135 1253 1589 2625 2685 3405 3759 4475 4767 5675 6265 7945 13425 17025 18795 22375 23835 28375 31325 39725 40633 67125 85125 93975 119175 121899 156625 198625 203165 284431 469875 595875 609495 853293 1015825 1422155 3047475 4266465 5079125 7110775 15237375 21332325 35553875 106661625