Search a number
-
+
105666155520 = 210356879307
BaseRepresentation
bin110001001101000110…
…0011001010000000000
3101002202001111212101120
41202122030121100000
53212401013434040
6120313052232240
710430335334232
oct1423214312000
9332661455346
10105666155520
11408a3876662
121858b46b680
139c6c68a8a3
1451857aa252
152b368ca7d0
hex189a319400

105666155520 has 88 divisors (see below), whose sum is σ = 337966643424. Its totient is φ = 28177637376.

The previous prime is 105666155489. The next prime is 105666155603. The reversal of 105666155520 is 25551666501.

It is a super-2 number, since 2×1056661555202 (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 7 ways as a sum of consecutive naturals, for example, 3424294 + ... + 3455013.

Almost surely, 2105666155520 is an apocalyptic number.

105666155520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105666155520 is an abundant number, since it is smaller than the sum of its proper divisors (232300487904).

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

105666155520 is an equidigital number, since it uses as much as digits as its factorization.

105666155520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879335 (or 6879317 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 105666155520 in words is "one hundred five billion, six hundred sixty-six million, one hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 6879307 13758614 20637921 27517228 34396535 41275842 55034456 68793070 82551684 103189605 110068912 137586140 165103368 206379210 220137824 275172280 330206736 412758420 440275648 550344560 660413472 825516840 880551296 1100689120 1320826944 1651033680 1761102592 2201378240 2641653888 3302067360 3522205184 4402756480 5283307776 6604134720 7044410368 8805512960 10566615552 13208269440 17611025920 21133231104 26416538880 35222051840 52833077760 105666155520