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105050000100 = 22352433808699
BaseRepresentation
bin110000111010101110…
…1111100101011100100
3101001011010002221001110
41201311131330223210
53210120300000400
6120132002025020
710406144160603
oct1416535745344
9331133087043
10105050000100
1140607a93a01
1218439048170
139ba1b26796
145127a19a3a
152aec76ae50
hex187577cae4

105050000100 has 72 divisors (see below), whose sum is σ = 304646994400. Its totient is φ = 27948602880.

The previous prime is 105050000093. The next prime is 105050000119. The reversal of 105050000100 is 1000050501.

It is a super-2 number, since 2×1050500001002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274450 + ... + 534249.

Almost surely, 2105050000100 is an apocalyptic number.

105050000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105050000100 is an abundant number, since it is smaller than the sum of its proper divisors (199596994300).

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

105050000100 is a wasteful number, since it uses less digits than its factorization.

105050000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809149 (or 809142 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

Adding to 105050000100 its reverse (1000050501), we get a palindrome (106050050601).

The spelling of 105050000100 in words is "one hundred five billion, fifty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 433 866 1299 1732 2165 2598 4330 5196 6495 8660 10825 12990 21650 25980 32475 43300 64950 129900 808699 1617398 2426097 3234796 4043495 4852194 8086990 9704388 12130485 16173980 20217475 24260970 40434950 48521940 60652425 80869900 121304850 242609700 350166667 700333334 1050500001 1400666668 1750833335 2101000002 3501666670 4202000004 5252500005 7003333340 8754166675 10505000010 17508333350 21010000020 26262500025 35016666700 52525000050 105050000100