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105233057 = 1932292381
BaseRepresentation
bin1100100010110…
…11101010100001
321100000101121122
412101123222201
5203414424212
614235302025
72415315626
oct621335241
9240011548
10105233057
1154446176
122b2aa915
1318a566a7
14dd9434d
15938a272
hex645baa1

105233057 has 8 divisors (see below), whose sum is σ = 106284840. Its totient is φ = 104186880.

The previous prime is 105233053. The next prime is 105233059. The reversal of 105233057 is 750332501.

It can be written as a sum of positive squares in 4 ways, for example, as 2027776 + 103205281 = 1424^2 + 10159^2 .

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 105233057 - 22 = 105233053 is a prime.

It is a super-2 number, since 2×1052330572 = 22147992571130498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105233053) 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, 43007 + ... + 45387.

It is an arithmetic number, because the mean of its divisors is an integer number (13285605).

Almost surely, 2105233057 is an apocalyptic number.

It is an amenable number.

105233057 is a deficient number, since it is larger than the sum of its proper divisors (1051783).

105233057 is a wasteful number, since it uses less digits than its factorization.

105233057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 105233057 is about 10258.3164798129. The cubic root of 105233057 is about 472.1181850583.

Adding to 105233057 its reverse (750332501), we get a palindrome (855565558).

The spelling of 105233057 in words is "one hundred five million, two hundred thirty-three thousand, fifty-seven".

Divisors: 1 193 229 2381 44197 459533 545249 105233057