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106060644100 = 22523185939829
BaseRepresentation
bin110001011000110110…
…1001111111100000100
3101010202112210221222201
41202301231033330010
53214203011102400
6120420143404244
710443165412555
oct1426155177404
9333675727881
10106060644100
1140a86517784
121867b5b3684
13a00331c698
1451c1d3832c
152b5b35106a
hex18b1b4ff04

106060644100 has 72 divisors (see below), whose sum is σ = 237858387200. Its totient is φ = 41006908800.

The previous prime is 106060644083. The next prime is 106060644181. The reversal of 106060644100 is 1446060601.

It is a super-2 number, since 2×1060606441002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642986 + ... + 2682814.

Almost surely, 2106060644100 is an apocalyptic number.

106060644100 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 106060644100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118929193600).

106060644100 is an abundant number, since it is smaller than the sum of its proper divisors (131797743100).

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

106060644100 is a wasteful number, since it uses less digits than its factorization.

106060644100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40733 (or 40726 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 106060644100 in words is "one hundred six billion, sixty million, six hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 859 1550 1718 3100 3436 4295 8590 17180 21475 26629 39829 42950 53258 79658 85900 106516 133145 159316 199145 266290 398290 532580 665725 796580 995725 1234699 1331450 1991450 2469398 2662900 3982900 4938796 6173495 12346990 24693980 30867475 34213111 61734950 68426222 123469900 136852444 171065555 342131110 684262220 855327775 1060606441 1710655550 2121212882 3421311100 4242425764 5303032205 10606064410 21212128820 26515161025 53030322050 106060644100