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105393959 = 1136726107
BaseRepresentation
bin1100100100000…
…10111100100111
321100022120022222
412102002330213
5203440101314
614242542555
72416556006
oct622027447
9240276288
10105393959
1154546050
122b367a5b
1318ab19b8
14ddd6c3d
1593bcc8e
hex6482f27

105393959 has 8 divisors (see below), whose sum is σ = 115292928. Its totient is φ = 95547960.

The previous prime is 105393949. The next prime is 105393973. The reversal of 105393959 is 959393501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105393959 is a prime.

It is a super-2 number, since 2×1053939592 = 22215773187387362, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105393919) 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, 9017 + ... + 17090.

It is an arithmetic number, because the mean of its divisors is an integer number (14411616).

Almost surely, 2105393959 is an apocalyptic number.

105393959 is a deficient number, since it is larger than the sum of its proper divisors (9898969).

105393959 is a wasteful number, since it uses less digits than its factorization.

105393959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26485.

The product of its (nonzero) digits is 164025, while the sum is 44.

The square root of 105393959 is about 10266.1559992044. The cubic root of 105393959 is about 472.3586864063.

The spelling of 105393959 in words is "one hundred five million, three hundred ninety-three thousand, nine hundred fifty-nine".

Divisors: 1 11 367 4037 26107 287177 9581269 105393959