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106021035204 = 2237373352853
BaseRepresentation
bin110001010111101011…
…0001001110011000100
3101010122210021121210120
41202233112021303010
53214112341111304
6120412210421540
710442204634000
oct1425726116304
9333583247716
10106021035204
1140a66123a57
121866a2918b0
139cc8061b76
1451ba987700
152b57b2a0d9
hex18af589cc4

106021035204 has 96 divisors (see below), whose sum is σ = 292445395200. Its totient is φ = 29876684544.

The previous prime is 106021035203. The next prime is 106021035247. The reversal of 106021035204 is 402530120601.

It is a super-2 number, since 2×1060210352042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106021035203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124042 + ... + 476894.

It is an arithmetic number, because the mean of its divisors is an integer number (3046306200).

Almost surely, 2106021035204 is an apocalyptic number.

106021035204 is a gapful number since it is divisible by the number (14) 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 106021035204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146222697600).

106021035204 is an abundant number, since it is smaller than the sum of its proper divisors (186424359996).

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

106021035204 is a wasteful number, since it uses less digits than its factorization.

106021035204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352954 (or 352938 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 106021035204 its reverse (402530120601), we get a palindrome (508551155805).

The spelling of 106021035204 in words is "one hundred six billion, twenty-one million, thirty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 343 438 511 588 686 876 1022 1029 1372 1533 2044 2058 3066 3577 4116 6132 7154 10731 14308 21462 25039 42924 50078 75117 100156 150234 300468 352853 705706 1058559 1411412 2117118 2469971 4234236 4939942 7409913 9879884 14819826 17289797 25758269 29639652 34579594 51516538 51869391 69159188 77274807 103033076 103738782 121028579 154549614 180307883 207477564 242057158 309099228 360615766 363085737 484114316 540923649 721231532 726171474 1081847298 1262155181 1452342948 2163694596 2524310362 3786465543 5048620724 7572931086 8835086267 15145862172 17670172534 26505258801 35340345068 53010517602 106021035204