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105113756 = 221123310253
BaseRepresentation
bin1100100001111…
…10100010011100
321022210022222002
412100332202130
5203402120011
614232541432
72414311046
oct620764234
9238708862
10105113756
1154374580
122b251878
1318a142b7
14dd62a96
159364c3b
hex643e89c

105113756 has 24 divisors (see below), whose sum is σ = 201552624. Its totient is φ = 47569280.

The previous prime is 105113753. The next prime is 105113779. The reversal of 105113756 is 657311501.

It is a super-2 number, since 2×1051137562 = 22097803400855072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105113753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5126 + ... + 15378.

It is an arithmetic number, because the mean of its divisors is an integer number (8398026).

Almost surely, 2105113756 is an apocalyptic number.

It is a pronic number, being equal to 10252×10253.

It is an amenable number.

105113756 is a deficient number, since it is larger than the sum of its proper divisors (96438868).

105113756 is a wasteful number, since it uses less digits than its factorization.

105113756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10501 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 105113756 is about 10252.4999878079. The cubic root of 105113756 is about 471.9397067005.

The spelling of 105113756 in words is "one hundred five million, one hundred thirteen thousand, seven hundred fifty-six".

Divisors: 1 2 4 11 22 44 233 466 932 2563 5126 10252 10253 20506 41012 112783 225566 451132 2388949 4777898 9555796 26278439 52556878 105113756