Search a number
-
+
106000005605060 = 225743153111500963
BaseRepresentation
bin11000000110100000001100…
…101011100010011011000100
3111220022111112122101211212202
4120012200030223202123010
5102343201002413330220
61013235421425534032
731220150645246630
oct3006401453423304
9456274478354782
10106000005605060
1130858393827806
12ba7b6174a4318
13471b9b06b9038
141c265db65ddc0
15c3c483eb3275
hex60680cae26c4

106000005605060 has 96 divisors (see below), whose sum is σ = 260486345720832. Its totient is φ = 35474487269760.

The previous prime is 106000005604979. The next prime is 106000005605101. The reversal of 106000005605060 is 60506500000601.

It is a super-2 number, since 2×1060000056050602 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3466139 + ... + 14967101.

It is an arithmetic number, because the mean of its divisors is an integer number (2713399434592).

Almost surely, 2106000005605060 is an apocalyptic number.

106000005605060 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 106000005605060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130243172860416).

106000005605060 is an abundant number, since it is smaller than the sum of its proper divisors (154486340115772).

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

106000005605060 is a wasteful number, since it uses less digits than its factorization.

106000005605060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502553 (or 11502551 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 106000005605060 its reverse (60506500000601), we get a palindrome (166506505605661).

The spelling of 106000005605060 in words is "one hundred six trillion, five million, six hundred five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 1531 3010 3062 6020 6124 7655 10717 15310 21434 30620 42868 53585 65833 107170 131666 214340 263332 329165 460831 658330 921662 1316660 1843324 2304155 4608310 9216620 11500963 23001926 46003852 57504815 80506741 115009630 161013482 230019260 322026964 402533705 494541409 805067410 989082818 1610134820 1978165636 2472707045 3461789863 4945414090 6923579726 9890828180 13847159452 17308949315 17607974353 34617898630 35215948706 69235797260 70431897412 88039871765 123255820471 176079743530 246511640942 352159487060 493023281884 616279102355 757142897179 1232558204710 1514285794358 2465116409420 3028571588716 3785714485895 5300000280253 7571428971790 10600000560506 15142857943580 21200001121012 26500001401265 53000002802530 106000005605060