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106885444020 = 223517131799921
BaseRepresentation
bin110001110001011011…
…1100111000110110100
3101012220000211010202220
41203202313213012310
53222400133202040
6121034050002340
710502502166215
oct1434267470664
9335800733686
10106885444020
114136a057103
121886b8763b0
13a105176684
14525d6bb40c
152ba89762d0
hex18e2de71b4

106885444020 has 96 divisors (see below), whose sum is σ = 319303264896. Its totient is φ = 26621337600.

The previous prime is 106885444007. The next prime is 106885444021. The reversal of 106885444020 is 20444588601.

It is a super-3 number, since 3×1068854440203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106885444021) 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, 266341 + ... + 533580.

It is an arithmetic number, because the mean of its divisors is an integer number (3326075676).

Almost surely, 2106885444020 is an apocalyptic number.

106885444020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106885444020 is an abundant number, since it is smaller than the sum of its proper divisors (212417820876).

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

106885444020 is a wasteful number, since it uses less digits than its factorization.

106885444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800081 (or 800079 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 106885444020 in words is "one hundred six billion, eight hundred eighty-five million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 131 170 204 255 262 340 393 510 524 655 786 1020 1310 1572 1965 2227 2620 3930 4454 6681 7860 8908 11135 13362 22270 26724 33405 44540 66810 133620 799921 1599842 2399763 3199684 3999605 4799526 7999210 9599052 11998815 13598657 15998420 23997630 27197314 40795971 47995260 54394628 67993285 81591942 104789651 135986570 163183884 203979855 209579302 271973140 314368953 407959710 419158604 523948255 628737906 815919420 1047896510 1257475812 1571844765 1781424067 2095793020 3143689530 3562848134 5344272201 6287379060 7125696268 8907120335 10688544402 17814240670 21377088804 26721361005 35628481340 53442722010 106885444020