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107568088980 = 223511349466997
BaseRepresentation
bin110010000101110001…
…1101100011110010100
3101021122121100002121120
41210023203230132110
53230244412321410
6121225513243540
710525431445602
oct1441343543624
9337577302546
10107568088980
114168a4223a0
1218a204035b0
13a1b371a4c1
1452c6218872
152be886b570
hex190b8ec794

107568088980 has 96 divisors (see below), whose sum is σ = 329513788800. Its totient is φ = 26002337280.

The previous prime is 107568088951. The next prime is 107568089003. The reversal of 107568088980 is 89880865701.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3159 + ... + 463838.

It is an arithmetic number, because the mean of its divisors is an integer number (3432435300).

Almost surely, 2107568088980 is an apocalyptic number.

107568088980 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 107568088980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164756894400).

107568088980 is an abundant number, since it is smaller than the sum of its proper divisors (221945699820).

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

107568088980 is a wasteful number, since it uses less digits than its factorization.

107568088980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467369 (or 467367 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 60.

The spelling of 107568088980 in words is "one hundred seven billion, five hundred sixty-eight million, eighty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 349 660 698 1047 1396 1745 2094 3490 3839 4188 5235 6980 7678 10470 11517 15356 19195 20940 23034 38390 46068 57585 76780 115170 230340 466997 933994 1400991 1867988 2334985 2801982 4669970 5136967 5603964 7004955 9339940 10273934 14009910 15410901 20547868 25684835 28019820 30821802 51369670 61643604 77054505 102739340 154109010 162981953 308218020 325963906 488945859 651927812 814909765 977891718 1629819530 1792801483 1955783436 2444729295 3259639060 3585602966 4889458590 5378404449 7171205932 8964007415 9778917180 10756808898 17928014830 21513617796 26892022245 35856029660 53784044490 107568088980