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105316379 = 7231673917
BaseRepresentation
bin1100100011100…
…00000000011011
321100011121220122
412101300000123
5203430111004
614241143455
72416113560
oct621600033
9240147818
10105316379
11544a2833
122b32ab8b
1318a855ac
14ddb6867
1593a4cbe
hex647001b

105316379 has 16 divisors (see below), whose sum is σ = 126379008. Its totient is φ = 85807392.

The previous prime is 105316363. The next prime is 105316381. The reversal of 105316379 is 973613501.

It is a cyclic number.

It is not a de Polignac number, because 105316379 - 24 = 105316363 is a prime.

It is a super-2 number, since 2×1053163792 = 22183079371343282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105316349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24929 + ... + 28845.

It is an arithmetic number, because the mean of its divisors is an integer number (7898688).

Almost surely, 2105316379 is an apocalyptic number.

105316379 is a deficient number, since it is larger than the sum of its proper divisors (21062629).

105316379 is a wasteful number, since it uses less digits than its factorization.

105316379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114.

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 105316379 is about 10262.3768689325. The cubic root of 105316379 is about 472.2427576173.

The spelling of 105316379 in words is "one hundred five million, three hundred sixteen thousand, three hundred seventy-nine".

Divisors: 1 7 23 161 167 1169 3841 3917 26887 27419 90091 630637 654139 4578973 15045197 105316379