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106525632 = 263554821
BaseRepresentation
bin1100101100101…
…11001111000000
321102110001200210
412112113033000
5204232310012
614323114120
72432311233
oct626271700
9242401623
10106525632
1155149314
122b812940
13190b9b25
141020d41a
15954323c
hex65973c0

106525632 has 28 divisors (see below), whose sum is σ = 281849576. Its totient is φ = 35508480.

The previous prime is 106525597. The next prime is 106525709. The reversal of 106525632 is 236525601.

It is a super-2 number, since 2×1065256322 = 22695420545998848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106525632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277219 + ... + 277602.

Almost surely, 2106525632 is an apocalyptic number.

106525632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106525632 is an abundant number, since it is smaller than the sum of its proper divisors (175323944).

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

106525632 is an equidigital number, since it uses as much as digits as its factorization.

106525632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554836 (or 554826 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 106525632 is about 10321.1255200196. The cubic root of 106525632 is about 474.0433295504.

The spelling of 106525632 in words is "one hundred six million, five hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 554821 1109642 1664463 2219284 3328926 4438568 6657852 8877136 13315704 17754272 26631408 35508544 53262816 106525632