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106000884 = 223211267679
BaseRepresentation
bin1100101000101…
…11000111110100
321101110101212200
412110113013310
5204114012014
614303544500
72424664323
oct624270764
9241411780
10106000884
1154920040
122b5bb130
1318c65022
14101140ba
15948ca09
hex65171f4

106000884 has 36 divisors (see below), whose sum is σ = 292306560. Its totient is φ = 32121360.

The previous prime is 106000879. The next prime is 106000889. The reversal of 106000884 is 488000601.

It is an interprime number because it is at equal distance from previous prime (106000879) and next prime (106000889).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1060008842 = 22472374817562912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133444 + ... + 134235.

Almost surely, 2106000884 is an apocalyptic number.

It is an amenable number.

106000884 is an abundant number, since it is smaller than the sum of its proper divisors (186305676).

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

106000884 is a wasteful number, since it uses less digits than its factorization.

106000884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267700 (or 267695 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106000884 is about 10295.6730717326. The cubic root of 106000884 is about 473.2636647225.

The spelling of 106000884 in words is "one hundred six million, eight hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 267679 535358 803037 1070716 1606074 2409111 2944469 3212148 4818222 5888938 8833407 9636444 11777876 17666814 26500221 35333628 53000442 106000884