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106015260 = 223513199683
BaseRepresentation
bin1100101000110…
…10101000011100
321101111010121010
412110122220130
5204114442020
614304135220
72425054251
oct624325034
9241433533
10106015260
115492a91a
122b607510
1318c6b730
1410119428
159491de0
hex651aa1c

106015260 has 96 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 25926912.

The previous prime is 106015243. The next prime is 106015267. The reversal of 106015260 is 62510601.

It is a happy number.

It is a super-2 number, since 2×1060152602 = 22478470705735200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106015267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154879 + ... + 155561.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2106015260 is an apocalyptic number.

106015260 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 106015260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

106015260 is an abundant number, since it is smaller than the sum of its proper divisors (215738340).

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

106015260 is a wasteful number, since it uses less digits than its factorization.

106015260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106015260 is about 10296.3712054296. The cubic root of 106015260 is about 473.2850586664.

Adding to 106015260 its reverse (62510601), we get a palindrome (168525861).

The spelling of 106015260 in words is "one hundred six million, fifteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 199 260 390 398 597 683 780 796 995 1194 1366 1990 2049 2388 2587 2732 2985 3415 3980 4098 5174 5970 6830 7761 8196 8879 10245 10348 11940 12935 13660 15522 17758 20490 25870 26637 31044 35516 38805 40980 44395 51740 53274 77610 88790 106548 133185 135917 155220 177580 266370 271834 407751 532740 543668 679585 815502 1359170 1631004 1766921 2038755 2718340 3533842 4077510 5300763 7067684 8155020 8834605 10601526 17669210 21203052 26503815 35338420 53007630 106015260