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106203144 = 23323421457
BaseRepresentation
bin1100101010010…
…00100000001000
321101211200022210
412111020200020
5204142000034
614312145120
72426466105
oct625104010
9241750283
10106203144
1154a48aa3
122b6981a0
13190060c8
1410167aac
1594cc8e9
hex6548808

106203144 has 64 divisors (see below), whose sum is σ = 278317440. Its totient is φ = 33707520.

The previous prime is 106203113. The next prime is 106203151. The reversal of 106203144 is 441302601.

It is a super-2 number, since 2×1062031442 = 22558215590969472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106203144.

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, 232164 + ... + 232620.

It is an arithmetic number, because the mean of its divisors is an integer number (4348710).

Almost surely, 2106203144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106203144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139158720).

106203144 is an abundant number, since it is smaller than the sum of its proper divisors (172114296).

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

106203144 is a wasteful number, since it uses less digits than its factorization.

106203144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106203144 is about 10305.4909635592. The cubic root of 106203144 is about 473.5644845118.

Adding to 106203144 its reverse (441302601), we get a palindrome (547505745).

The spelling of 106203144 in words is "one hundred six million, two hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 421 457 552 842 914 1263 1371 1684 1828 2526 2742 3368 3656 5052 5484 9683 10104 10511 10968 19366 21022 29049 31533 38732 42044 58098 63066 77464 84088 116196 126132 192397 232392 252264 384794 577191 769588 1154382 1539176 2308764 4425131 4617528 8850262 13275393 17700524 26550786 35401048 53101572 106203144