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106005106060 = 22572233395423
BaseRepresentation
bin110001010111001100…
…1011000110110001100
3101010121200022100010021
41202232121120312030
53214044301343220
6120410441151524
710441622351230
oct1425631306614
9333550270107
10106005106060
1140a58134177
1218664a8b5a4
139cc4975639
1451b87dc5c0
152b565304aa
hex18ae658d8c

106005106060 has 48 divisors (see below), whose sum is σ = 255553191936. Its totient is φ = 36181616832.

The previous prime is 106005106043. The next prime is 106005106133. The reversal of 106005106060 is 60601500601.

It is a super-2 number, since 2×1060051060602 (a number of 23 digits) contains 22 as substring.

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, 1666492 + ... + 1728931.

It is an arithmetic number, because the mean of its divisors is an integer number (5324024832).

Almost surely, 2106005106060 is an apocalyptic number.

106005106060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005106060 is an abundant number, since it is smaller than the sum of its proper divisors (149548085876).

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

106005106060 is a wasteful number, since it uses less digits than its factorization.

106005106060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395662 (or 3395660 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 106005106060 its reverse (60601500601), we get a palindrome (166606606661).

The spelling of 106005106060 in words is "one hundred six billion, five million, one hundred six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1561 2230 3122 4460 6244 7805 15610 31220 3395423 6790846 13581692 16977115 23767961 33954230 47535922 67908460 95071844 118839805 237679610 475359220 757179329 1514358658 3028717316 3785896645 5300255303 7571793290 10600510606 15143586580 21201021212 26501276515 53002553030 106005106060