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105143937 = 3292774363
BaseRepresentation
bin1100100010001…
…01111010000001
321022211212100220
412101011322001
5203404101222
614233333253
72414465043
oct621057201
9238755326
10105143937
1154395218
122b267229
1318a24c62
14dd6da93
15936db5c
hex6445e81

105143937 has 16 divisors (see below), whose sum is σ = 145583040. Its totient is φ = 67419072.

The previous prime is 105143923. The next prime is 105143939. The reversal of 105143937 is 739341501.

It is not a de Polignac number, because 105143937 - 24 = 105143921 is a prime.

It is a super-2 number, since 2×1051439372 = 22110494975719938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105143898 and 105143907.

It is not an unprimeable number, because it can be changed into a prime (105143939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21918 + ... + 26280.

It is an arithmetic number, because the mean of its divisors is an integer number (9098940).

Almost surely, 2105143937 is an apocalyptic number.

It is an amenable number.

105143937 is a deficient number, since it is larger than the sum of its proper divisors (40439103).

105143937 is a wasteful number, since it uses less digits than its factorization.

105143937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 105143937 is about 10253.9717670764. The cubic root of 105143937 is about 471.9848712593.

The spelling of 105143937 in words is "one hundred five million, one hundred forty-three thousand, nine hundred thirty-seven".

Divisors: 1 3 29 87 277 831 4363 8033 13089 24099 126527 379581 1208551 3625653 35047979 105143937