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106111144 = 23172333923
BaseRepresentation
bin1100101001100…
…10000010101000
321101200000010101
412110302002220
5204131024034
614310155144
72425633636
oct624620250
9241600111
10106111144
1154995967
122b652ab4
1318ca3279
1410142356
1594b0514
hex65320a8

106111144 has 32 divisors (see below), whose sum is σ = 219827520. Its totient is φ = 47762176.

The previous prime is 106111139. The next prime is 106111177. The reversal of 106111144 is 441111601.

It is a super-2 number, since 2×1061111442 = 22519149761977472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13834 + ... + 20089.

It is an arithmetic number, because the mean of its divisors is an integer number (6869610).

Almost surely, 2106111144 is an apocalyptic number.

It is an amenable number.

106111144 is an abundant number, since it is smaller than the sum of its proper divisors (113716376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106111144 is a wasteful number, since it uses less digits than its factorization.

106111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33969 (or 33965 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 106111144 is about 10301.0263566307. The cubic root of 106111144 is about 473.4277009935.

Adding to 106111144 its reverse (441111601), we get a palindrome (547222745).

The spelling of 106111144 in words is "one hundred six million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 391 782 1564 3128 33923 67846 135692 271384 576691 780229 1153382 1560458 2306764 3120916 4613528 6241832 13263893 26527786 53055572 106111144