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106055048 = 231123312
BaseRepresentation
bin1100101001001…
…00010110001000
321101120011011202
412110210112020
5204122230143
614305043332
72425311251
oct624442610
9241504152
10106055048
1154957800
122b626548
1318c83888
1410129b28
15949dab8
hex6524588

106055048 has 36 divisors (see below), whose sum is σ = 219236535. Its totient is φ = 48061200.

The previous prime is 106055039. The next prime is 106055063. The reversal of 106055048 is 840550601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 53027524 + 53027524 = 7282^2 + 7282^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7282.

It is a super-2 number, since 2×1060550482 = 22495346412564608, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106055048.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 320243 + ... + 320573.

Almost surely, 2106055048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106055048

106055048 is an abundant number, since it is smaller than the sum of its proper divisors (113181487).

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

106055048 is an equidigital number, since it uses as much as digits as its factorization.

106055048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 106055048 is about 10298.3031612009. The cubic root of 106055048 is about 473.3442599254.

The spelling of 106055048 in words is "one hundred six million, fifty-five thousand, forty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 331 484 662 968 1324 2648 3641 7282 14564 29128 40051 80102 109561 160204 219122 320408 438244 876488 1205171 2410342 4820684 9641368 13256881 26513762 53027524 106055048