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106103111500 = 22531753235523
BaseRepresentation
bin110001011010000111…
…1001111111101001100
3101010212111201112022101
41202310033033331030
53214244344032000
6120424301524444
710444222365331
oct1426417177514
9333774645271
10106103111500
1140aa8493101
1218691873724
13a00c06b319
1451c7830988
152b5ee3de6a
hex18b43cff4c

106103111500 has 96 divisors (see below), whose sum is σ = 249990826176. Its totient is φ = 39190860800.

The previous prime is 106103111473. The next prime is 106103111561. The reversal of 106103111500 is 5111301601.

It is a super-2 number, since 2×1061031115002 (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 31 ways as a sum of consecutive naturals, for example, 332739 + ... + 568261.

It is an arithmetic number, because the mean of its divisors is an integer number (2604071106).

Almost surely, 2106103111500 is an apocalyptic number.

106103111500 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 106103111500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124995413088).

106103111500 is an abundant number, since it is smaller than the sum of its proper divisors (143887714676).

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

106103111500 is a wasteful number, since it uses less digits than its factorization.

106103111500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235612 (or 235600 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The spelling of 106103111500 in words is "one hundred six billion, one hundred three million, one hundred eleven thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 125 170 212 250 265 340 425 500 530 850 901 1060 1325 1700 1802 2125 2650 3604 4250 4505 5300 6625 8500 9010 13250 18020 22525 26500 45050 90100 112625 225250 235523 450500 471046 942092 1177615 2355230 4003891 4710460 5888075 8007782 11776150 12482719 16015564 20019455 23552300 24965438 29440375 40038910 49930876 58880750 62413595 80077820 100097275 117761500 124827190 200194550 212206223 249654380 312067975 400389100 424412446 500486375 624135950 848824892 1000972750 1061031115 1248271900 1560339875 2001945500 2122062230 3120679750 4244124460 5305155575 6241359500 10610311150 21220622300 26525777875 53051555750 106103111500