Search a number
-
+
106344260 = 22511312503
BaseRepresentation
bin1100101011010…
…10111101000100
321102002211220022
412111222331010
5204211004020
614315154312
72430624401
oct625527504
9242084808
10106344260
1155035020
122b745998
13190553c9
14101a32a8
159509625
hex656af44

106344260 has 72 divisors (see below), whose sum is σ = 252237888. Its totient is φ = 37348800.

The previous prime is 106344257. The next prime is 106344263. The reversal of 106344260 is 62443601.

It is an interprime number because it is at equal distance from previous prime (106344257) and next prime (106344263).

It is a super-2 number, since 2×1063442602 = 22618203269895200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106344263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211169 + ... + 211671.

It is an arithmetic number, because the mean of its divisors is an integer number (3503304).

Almost surely, 2106344260 is an apocalyptic number.

106344260 is a gapful number since it is divisible by the number (10) 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 106344260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126118944).

106344260 is an abundant number, since it is smaller than the sum of its proper divisors (145893628).

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

106344260 is a wasteful number, since it uses less digits than its factorization.

106344260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 106344260 is about 10312.3353320186. The cubic root of 106344260 is about 473.7741391617.

Adding to 106344260 its reverse (62443601), we get a palindrome (168787861).

The spelling of 106344260 in words is "one hundred six million, three hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 503 620 682 961 1006 1364 1705 1922 2012 2515 3410 3844 4805 5030 5533 6820 9610 10060 10571 11066 15593 19220 21142 22132 27665 31186 42284 52855 55330 62372 77965 105710 110660 155930 171523 211420 311860 343046 483383 686092 857615 966766 1715230 1933532 2416915 3430460 4833830 5317213 9667660 10634426 21268852 26586065 53172130 106344260