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106295168 = 277118633
BaseRepresentation
bin1100101010111…
…10111110000000
321102000100120002
412111132332000
5204202421133
614314135132
72430331310
oct625367600
9242010502
10106295168
1155001151
122b7214a8
1319038c65
141018d440
1594e9ce8
hex655ef80

106295168 has 32 divisors (see below), whose sum is σ = 242013360. Its totient is φ = 45554688.

The previous prime is 106295141. The next prime is 106295171. The reversal of 106295168 is 861592601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1062951682 = 22597325480296448, 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 3 ways as a sum of consecutive naturals, for example, 58421 + ... + 60212.

Almost surely, 2106295168 is an apocalyptic number.

It is an amenable number.

106295168 is an abundant number, since it is smaller than the sum of its proper divisors (135718192).

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

106295168 is an equidigital number, since it uses as much as digits as its factorization.

106295168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118654 (or 118642 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 106295168 is about 10309.9548010648. The cubic root of 106295168 is about 473.7012247109.

The spelling of 106295168 in words is "one hundred six million, two hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 118633 237266 474532 830431 949064 1660862 1898128 3321724 3796256 6643448 7592512 13286896 15185024 26573792 53147584 106295168