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106010145140 = 22510749537451
BaseRepresentation
bin110001010111010110…
…0100111000101110100
3101010122000210100102212
41202232230213011310
53214102044121030
6120411141152552
710442013236354
oct1425654470564
9333560710385
10106010145140
1140a5aa660a9
12186666bb758
139cc5a1b143
1451b9350b64
152b56bc8595
hex18aeb27174

106010145140 has 24 divisors (see below), whose sum is σ = 224701882272. Its totient is φ = 42007757600.

The previous prime is 106010145121. The next prime is 106010145167. The reversal of 106010145140 is 41541010601.

It is a happy number.

It is a super-2 number, since 2×1060101451402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 24766586 + ... + 24770865.

It is an arithmetic number, because the mean of its divisors is an integer number (9362578428).

Almost surely, 2106010145140 is an apocalyptic number.

106010145140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010145140 is an abundant number, since it is smaller than the sum of its proper divisors (118691737132).

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

106010145140 is a wasteful number, since it uses less digits than its factorization.

106010145140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49537567 (or 49537565 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 106010145140 its reverse (41541010601), we get a palindrome (147551155741).

The spelling of 106010145140 in words is "one hundred six billion, ten million, one hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 49537451 99074902 198149804 247687255 495374510 990749020 5300507257 10601014514 21202029028 26502536285 53005072570 106010145140