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106803529920 = 2632537084559
BaseRepresentation
bin110001101110111111…
…1001000100011000000
3101012200022200110202100
41203131333020203000
53222213200424140
6121022002150400
710500456011463
oct1433577104300
9335608613670
10106803529920
11413278988aa
1218848352400
13a0c11c5ca9
1452528772da
152ba1695530
hex18ddfc88c0

106803529920 has 84 divisors (see below), whose sum is σ = 367359651360. Its totient is φ = 28480940544.

The previous prime is 106803529837. The next prime is 106803529927. The reversal of 106803529920 is 29925308601.

It is a super-2 number, since 2×1068035299202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106803529927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18539400 + ... + 18545159.

Almost surely, 2106803529920 is an apocalyptic number.

106803529920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106803529920 is an abundant number, since it is smaller than the sum of its proper divisors (260556121440).

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

106803529920 is a wasteful number, since it uses less digits than its factorization.

106803529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37084582 (or 37084569 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 106803529920 in words is "one hundred six billion, eight hundred three million, five hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 37084559 74169118 111253677 148338236 185422795 222507354 296676472 333761031 370845590 445014708 556268385 593352944 667522062 741691180 890029416 1112536770 1186705888 1335044124 1483382360 1668805155 1780058832 2225073540 2373411776 2670088248 2966764720 3337610310 3560117664 4450147080 5340176496 5933529440 6675220620 7120235328 8900294160 10680352992 11867058880 13350441240 17800588320 21360705984 26700882480 35601176640 53401764960 106803529920