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106101321360 = 24353711948347
BaseRepresentation
bin110001011010000100…
…0011010111010010000
3101010212101100120200220
41202310020122322100
53214243414240420
6120424155313040
710444201231266
oct1426410327220
9333771316626
10106101321360
1140aa7480151
121869114b780
13a00b892578
1451c74c6436
152b5ebd8840
hex18b421ae90

106101321360 has 80 divisors (see below), whose sum is σ = 337803694656. Its totient is φ = 27528989184.

The previous prime is 106101321353. The next prime is 106101321371. The reversal of 106101321360 is 63123101601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1061013213602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106101321360.

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, 5965294 + ... + 5983053.

Almost surely, 2106101321360 is an apocalyptic number.

106101321360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106101321360 is an abundant number, since it is smaller than the sum of its proper divisors (231702373296).

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

106101321360 is a wasteful number, since it uses less digits than its factorization.

106101321360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948400 (or 11948394 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 106101321360 its reverse (63123101601), we get a palindrome (169224422961).

The spelling of 106101321360 in words is "one hundred six billion, one hundred one million, three hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 11948347 23896694 35845041 47793388 59741735 71690082 95586776 119483470 143380164 179225205 191173552 238966940 286760328 358450410 442088839 477933880 573520656 716900820 884177678 955867760 1326266517 1433801640 1768355356 2210444195 2652533034 2867603280 3536710712 4420888390 5305066068 6631332585 7073421424 8841776780 10610132136 13262665170 17683553560 21220264272 26525330340 35367107120 53050660680 106101321360