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106789397550 = 235211130149747
BaseRepresentation
bin110001101110100100…
…1001110010000101110
3101012122100002110210020
41203131021032100232
53222201041210200
6121020335223010
710500224621313
oct1433511162056
9335570073706
10106789397550
114131a915a60
1218843677a66
13a0bb2b8544
145250a38d0a
152ba0302ea0
hex18dd24e42e

106789397550 has 96 divisors (see below), whose sum is σ = 289141743744. Its totient is φ = 25867920000.

The previous prime is 106789397537. The next prime is 106789397567. The reversal of 106789397550 is 55793987601.

It is a super-2 number, since 2×1067893975502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2121777 + ... + 2171523.

It is an arithmetic number, because the mean of its divisors is an integer number (3011893164).

Almost surely, 2106789397550 is an apocalyptic number.

106789397550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106789397550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144570871872).

106789397550 is an abundant number, since it is smaller than the sum of its proper divisors (182352346194).

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

106789397550 is a wasteful number, since it uses less digits than its factorization.

106789397550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51074 (or 51069 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 60.

The spelling of 106789397550 in words is "one hundred six billion, seven hundred eighty-nine million, three hundred ninety-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1301 1650 2602 3903 6505 7806 13010 14311 19515 28622 32525 39030 42933 49747 65050 71555 85866 97575 99494 143110 149241 195150 214665 248735 298482 357775 429330 497470 547217 715550 746205 1073325 1094434 1243675 1492410 1641651 2146650 2487350 2736085 3283302 3731025 5472170 7462050 8208255 13680425 16416510 27360850 41041275 64720847 82082550 129441694 194162541 323604235 388325082 647208470 711929317 970812705 1423858634 1618021175 1941625410 2135787951 3236042350 3559646585 4271575902 4854063525 7119293170 9708127050 10678939755 17798232925 21357879510 35596465850 53394698775 106789397550