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10106124 = 2237313881
BaseRepresentation
bin100110100011…
…010100001100
3201000102222220
4212203110030
510041343444
61000335340
7151620630
oct46432414
921012886
1010106124
115782976
123474550
13212ac72
1414b0dc0
15d49619
hex9a350c

10106124 has 48 divisors (see below), whose sum is σ = 27826176. Its totient is φ = 2793600.

The previous prime is 10106113. The next prime is 10106147. The reversal of 10106124 is 42160101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664 + ... + 4544.

It is an arithmetic number, because the mean of its divisors is an integer number (579712).

Almost surely, 210106124 is an apocalyptic number.

10106124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913088).

10106124 is an abundant number, since it is smaller than the sum of its proper divisors (17720052).

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

10106124 is a wasteful number, since it uses less digits than its factorization.

10106124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10106124 is about 3179.0130543928. The cubic root of 10106124 is about 216.2029128881.

Adding to 10106124 its reverse (42160101), we get a palindrome (52266225).

The spelling of 10106124 in words is "ten million, one hundred six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 3881 7762 11643 15524 23286 27167 46572 54334 81501 108668 120311 163002 240622 326004 360933 481244 721866 842177 1443732 1684354 2526531 3368708 5053062 10106124