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105763331 = 832934349
BaseRepresentation
bin1100100110111…
…01001000000011
321101000100000102
412103131020003
5204033411311
614254513015
72422654622
oct623351003
9241010012
10105763331
1154778613
122b50576b
1318bb0b6b
14100916b9
15944243b
hex64dd203

105763331 has 8 divisors (see below), whose sum is σ = 107427600. Its totient is φ = 104108512.

The previous prime is 105763303. The next prime is 105763369. The reversal of 105763331 is 133367501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105763331 - 26 = 105763267 is a prime.

It is a super-2 number, since 2×1057633312 = 22371764368431122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105763294 and 105763303.

It is not an unprimeable number, because it can be changed into a prime (105763381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22145 + ... + 26493.

It is an arithmetic number, because the mean of its divisors is an integer number (13428450).

Almost surely, 2105763331 is an apocalyptic number.

105763331 is a deficient number, since it is larger than the sum of its proper divisors (1664269).

105763331 is an equidigital number, since it uses as much as digits as its factorization.

105763331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725.

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 105763331 is about 10284.1300555759. The cubic root of 105763331 is about 472.9098648697.

The spelling of 105763331 in words is "one hundred five million, seven hundred sixty-three thousand, three hundred thirty-one".

Divisors: 1 83 293 4349 24319 360967 1274257 105763331