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106006253540 = 22511243804237
BaseRepresentation
bin110001010111001110…
…1110000111111100100
3101010121202110122011112
41202232131300333210
53214100100103130
6120410521524152
710441635200525
oct1425635607744
9333552418145
10106006253540
1140a58848300
1218665343658
139cc4c87a15
1451b8a1a84c
152b566aa495
hex18ae770fe4

106006253540 has 36 divisors (see below), whose sum is σ = 244690473468. Its totient is φ = 38547727680.

The previous prime is 106006253531. The next prime is 106006253543. The reversal of 106006253540 is 45352600601.

It can be written as a sum of positive squares in 2 ways, for example, as 51377475556 + 54628777984 = 226666^2 + 233728^2 .

It is a super-2 number, since 2×1060062535402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106006253497 and 106006253506.

It is not an unprimeable number, because it can be changed into a prime (106006253543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21899699 + ... + 21904538.

Almost surely, 2106006253540 is an apocalyptic number.

106006253540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106006253540 is an abundant number, since it is smaller than the sum of its proper divisors (138684219928).

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

106006253540 is a wasteful number, since it uses less digits than its factorization.

106006253540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43804268 (or 43804255 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 106006253540 in words is "one hundred six billion, six million, two hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 43804237 87608474 175216948 219021185 438042370 481846607 876084740 963693214 1927386428 2409233035 4818466070 5300312677 9636932140 10600625354 21201250708 26501563385 53003126770 106006253540