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106504452 = 223212972281
BaseRepresentation
bin1100101100100…
…10000100000100
321102101222122100
412112102010010
5204231120302
614322432100
72432162415
oct626220404
9242358570
10106504452
115513440a
122b802630
13190b02b2
141020580c
15953bd1c
hex6592104

106504452 has 36 divisors (see below), whose sum is σ = 269545276. Its totient is φ = 35458560.

The previous prime is 106504451. The next prime is 106504477. The reversal of 106504452 is 254405601.

106504452 is a `hidden beast` number, since 1 + 0 + 650 + 4 + 4 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92621376 + 13883076 = 9624^2 + 3726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1065044522 = 22686396591640608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106504451) 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, 45552 + ... + 47832.

Almost surely, 2106504452 is an apocalyptic number.

106504452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106504452 is an abundant number, since it is smaller than the sum of its proper divisors (163040824).

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

106504452 is a wasteful number, since it uses less digits than its factorization.

106504452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 106504452 is about 10320.0994181258. The cubic root of 106504452 is about 474.0119101852.

The spelling of 106504452 in words is "one hundred six million, five hundred four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1297 2281 2594 3891 4562 5188 6843 7782 9124 11673 13686 15564 20529 23346 27372 41058 46692 82116 2958457 5916914 8875371 11833828 17750742 26626113 35501484 53252226 106504452