Search a number
-
+
105472323 = 32113134367
BaseRepresentation
bin1100100100101…
…10000101000011
321100110112211100
412102112011003
5204000103243
614244345443
72420333325
oct622260503
9240415740
10105472323
1154599a10
122b3a5283
1318b0b578
1410017615
1593d60d3
hex6496143

105472323 has 24 divisors (see below), whose sum is σ = 171565056. Its totient is φ = 61858800.

The previous prime is 105472321. The next prime is 105472351. The reversal of 105472323 is 323274501.

It is not a de Polignac number, because 105472323 - 21 = 105472321 is a prime.

It is a super-2 number, since 2×1054723232 = 22248821838032658, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (105472321) 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 23 ways as a sum of consecutive naturals, for example, 14115 + ... + 20252.

It is an arithmetic number, because the mean of its divisors is an integer number (7148544).

Almost surely, 2105472323 is an apocalyptic number.

105472323 is a deficient number, since it is larger than the sum of its proper divisors (66092733).

105472323 is a wasteful number, since it uses less digits than its factorization.

105472323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34415 (or 34412 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 105472323 is about 10269.9719084329. The cubic root of 105472323 is about 472.4757289960.

The spelling of 105472323 in words is "one hundred five million, four hundred seventy-two thousand, three hundred twenty-three".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 34367 103101 309303 378037 1065377 1134111 3196131 3402333 9588393 11719147 35157441 105472323