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106102566 = 232103151379
BaseRepresentation
bin1100101001011…
…11111100100110
321101122120100200
412110233330212
5204130240231
614310051330
72425566633
oct624577446
9241576320
10106102566
115498a479
122b649b46
1318c9c3ab
141013d18a
1594acbe6
hex652ff26

106102566 has 48 divisors (see below), whose sum is σ = 234274560. Its totient is φ = 34700400.

The previous prime is 106102541. The next prime is 106102567. The reversal of 106102566 is 665201601.

It is a happy number.

It is a super-2 number, since 2×1061025662 = 22515509023568712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106102567) 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, 279765 + ... + 280143.

It is an arithmetic number, because the mean of its divisors is an integer number (4880720).

Almost surely, 2106102566 is an apocalyptic number.

106102566 is an abundant number, since it is smaller than the sum of its proper divisors (128171994).

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

106102566 is a wasteful number, since it uses less digits than its factorization.

106102566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106102566 is about 10300.6099819380. The cubic root of 106102566 is about 473.4149433883.

The spelling of 106102566 in words is "one hundred six million, one hundred two thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 103 151 206 302 309 379 453 618 758 906 927 1137 1359 1854 2274 2718 3411 6822 15553 31106 39037 46659 57229 78074 93318 114458 117111 139977 171687 234222 279954 343374 351333 515061 702666 1030122 5894587 11789174 17683761 35367522 53051283 106102566