Search a number
-
+
105516343 = 3128112113
BaseRepresentation
bin1100100101000…
…00110100110111
321100112210012201
412102200310313
5204003010333
614245325331
72420605552
oct622406467
9240483181
10105516343
1154619a99
122b406847
1318b2560a
1410029699
1593e417d
hex64a0d37

105516343 has 8 divisors (see below), whose sum is σ = 109316736. Its totient is φ = 101740800.

The previous prime is 105516283. The next prime is 105516361. The reversal of 105516343 is 343615501.

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-105516343 is a prime.

It is a super-2 number, since 2×1055163432 = 22267397280187298, 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 (105516143) 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, 2655 + ... + 14767.

It is an arithmetic number, because the mean of its divisors is an integer number (13664592).

Almost surely, 2105516343 is an apocalyptic number.

105516343 is a deficient number, since it is larger than the sum of its proper divisors (3800393).

105516343 is a wasteful number, since it uses less digits than its factorization.

105516343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 105516343 is about 10272.1148260716. The cubic root of 105516343 is about 472.5414507835.

The spelling of 105516343 in words is "one hundred five million, five hundred sixteen thousand, three hundred forty-three".

Divisors: 1 31 281 8711 12113 375503 3403753 105516343