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106224261 = 31113247609
BaseRepresentation
bin1100101010011…
…01101010000101
321101212202021220
412111031222011
5204143134021
614312430553
72426614503
oct625155205
9241782256
10106224261
1154a62950
122b6a8459
13190128c0
1410171673
1594d3cc6
hex654da85

106224261 has 16 divisors (see below), whose sum is σ = 166393920. Its totient is φ = 59425920.

The previous prime is 106224257. The next prime is 106224263. The reversal of 106224261 is 162422601.

It is not a de Polignac number, because 106224261 - 22 = 106224257 is a prime.

It is a super-2 number, since 2×1062242612 = 22567187249992242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106224263) 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 15 ways as a sum of consecutive naturals, for example, 123376 + ... + 124233.

It is an arithmetic number, because the mean of its divisors is an integer number (10399620).

Almost surely, 2106224261 is an apocalyptic number.

106224261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106224261 is a deficient number, since it is larger than the sum of its proper divisors (60169659).

106224261 is a wasteful number, since it uses less digits than its factorization.

106224261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247636.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106224261 is about 10306.5154635308. The cubic root of 106224261 is about 473.5958696420.

Adding to 106224261 its reverse (162422601), we get a palindrome (268646862).

The spelling of 106224261 in words is "one hundred six million, two hundred twenty-four thousand, two hundred sixty-one".

Divisors: 1 3 11 13 33 39 143 429 247609 742827 2723699 3218917 8171097 9656751 35408087 106224261