Search a number
-
+
105422750780 = 22523937244589
BaseRepresentation
bin110001000101110101…
…1111000010000111100
3101002010002111121212012
41202023223320100330
53211401211011110
6120232555230352
710421321411354
oct1421353702074
9332102447765
10105422750780
1140789438016
1218521a483b8
139c31117109
145161329b64
152b2034a905
hex188baf843c

105422750780 has 48 divisors (see below), whose sum is σ = 231260823360. Its totient is φ = 40292448768.

The previous prime is 105422750779. The next prime is 105422750791. The reversal of 105422750780 is 87057224501.

It is a super-2 number, since 2×1054227507802 (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 15 ways as a sum of consecutive naturals, for example, 308726 + ... + 553314.

It is an arithmetic number, because the mean of its divisors is an integer number (4817933820).

Almost surely, 2105422750780 is an apocalyptic number.

105422750780 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 105422750780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115630411680).

105422750780 is an abundant number, since it is smaller than the sum of its proper divisors (125838072580).

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

105422750780 is a wasteful number, since it uses less digits than its factorization.

105422750780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245558 (or 245556 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 41.

The spelling of 105422750780 in words is "one hundred five billion, four hundred twenty-two million, seven hundred fifty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 937 1874 3748 4685 9370 18740 21551 43102 86204 107755 215510 244589 431020 489178 978356 1222945 2445890 4891780 5625547 11251094 22502188 28127735 56255470 112510940 229179893 458359786 916719572 1145899465 2291798930 4583597860 5271137539 10542275078 21084550156 26355687695 52711375390 105422750780