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106223871 = 31317160217
BaseRepresentation
bin1100101010011…
…01100011111111
321101212201202110
412111031203333
5204143130441
614312425103
72426613405
oct625154377
9241781673
10106223871
1154a62626
122b6a8193
1319012680
1410171475
1594d3b16
hex654d8ff

106223871 has 16 divisors (see below), whose sum is σ = 161499744. Its totient is φ = 61522944.

The previous prime is 106223861. The next prime is 106223891. The reversal of 106223871 is 178322601.

It is not a de Polignac number, because 106223871 - 214 = 106207487 is a prime.

It is a super-2 number, since 2×1062238712 = 22567021540449282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106223801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79446 + ... + 80771.

It is an arithmetic number, because the mean of its divisors is an integer number (10093734).

Almost surely, 2106223871 is an apocalyptic number.

106223871 is a deficient number, since it is larger than the sum of its proper divisors (55275873).

106223871 is a wasteful number, since it uses less digits than its factorization.

106223871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160250.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106223871 is about 10306.4965434429. The cubic root of 106223871 is about 473.5952900424.

The spelling of 106223871 in words is "one hundred six million, two hundred twenty-three thousand, eight hundred seventy-one".

Divisors: 1 3 13 17 39 51 221 663 160217 480651 2082821 2723689 6248463 8171067 35407957 106223871