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106518370 = 257192832
BaseRepresentation
bin1100101100101…
…01011101100010
321102102200201211
412112111131202
5204232041440
614323020334
72432251120
oct626253542
9242380654
10106518370
1155143912
122b80a6aa
13190b672a
141020a910
159540eea
hex6595762

106518370 has 48 divisors (see below), whose sum is σ = 231474240. Its totient is φ = 34476192.

The previous prime is 106518361. The next prime is 106518407. The reversal of 106518370 is 73815601.

It is a super-2 number, since 2×1065183702 = 22692326294913800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376249 + ... + 376531.

It is an arithmetic number, because the mean of its divisors is an integer number (4822380).

Almost surely, 2106518370 is an apocalyptic number.

106518370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106518370 is an abundant number, since it is smaller than the sum of its proper divisors (124955870).

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

106518370 is an equidigital number, since it uses as much as digits as its factorization.

106518370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 106518370 is about 10320.7737113067. The cubic root of 106518370 is about 474.0325572420.

The spelling of 106518370 in words is "one hundred six million, five hundred eighteen thousand, three hundred seventy".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 283 566 665 1330 1415 1981 2830 3962 5377 9905 10754 19810 26885 37639 53770 75278 80089 160178 188195 376390 400445 560623 800890 1121246 1521691 2803115 3043382 5606230 7608455 10651837 15216910 21303674 53259185 106518370