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106397523 = 3343113811
BaseRepresentation
bin1100101011101…
…11111101010011
321102012112222000
412111313331103
5204214210043
614320245043
72431235601
oct625677523
9242175860
10106397523
1155071041
122b770783
131907371b
14101b8871
15951a2d3
hex6577f53

106397523 has 32 divisors (see below), whose sum is σ = 162919680. Its totient is φ = 68584320.

The previous prime is 106397507. The next prime is 106397531. The reversal of 106397523 is 325793601.

106397523 is a `hidden beast` number, since 10 + 639 + 7 + 5 + 2 + 3 = 666.

It is not a de Polignac number, because 106397523 - 24 = 106397507 is a prime.

It is a super-2 number, since 2×1063975232 = 22640865801071058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106397323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130788 + ... + 131598.

It is an arithmetic number, because the mean of its divisors is an integer number (5091240).

Almost surely, 2106397523 is an apocalyptic number.

106397523 is a deficient number, since it is larger than the sum of its proper divisors (56522157).

106397523 is a wasteful number, since it uses less digits than its factorization.

106397523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 106397523 is about 10314.9174984582. The cubic root of 106397523 is about 473.8532232614.

The spelling of 106397523 in words is "one hundred six million, three hundred ninety-seven thousand, five hundred twenty-three".

Divisors: 1 3 9 27 43 113 129 339 387 811 1017 1161 2433 3051 4859 7299 14577 21897 34873 43731 91643 104619 131193 274929 313857 824787 941571 2474361 3940649 11821947 35465841 106397523