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106534032 = 24311201769
BaseRepresentation
bin1100101100110…
…01010010010000
321102110111012220
412112121102100
5204233042112
614323221040
72432344563
oct626312220
9242414186
10106534032
1155154660
122b817780
13190c08b7
14102124da
15954598c
hex6599490

106534032 has 40 divisors (see below), whose sum is σ = 300233760. Its totient is φ = 32282880.

The previous prime is 106534003. The next prime is 106534037. The reversal of 106534032 is 230435601.

It is a happy number.

It is a super-2 number, since 2×1065340322 = 22698999948354048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 106533993 and 106534011.

It is not an unprimeable number, because it can be changed into a prime (106534037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100357 + ... + 101412.

It is an arithmetic number, because the mean of its divisors is an integer number (7505844).

Almost surely, 2106534032 is an apocalyptic number.

106534032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106534032 is an abundant number, since it is smaller than the sum of its proper divisors (193699728).

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

106534032 is a wasteful number, since it uses less digits than its factorization.

106534032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201791 (or 201785 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 106534032 is about 10321.5324443612. The cubic root of 106534032 is about 474.0557893350.

Adding to 106534032 its reverse (230435601), we get a palindrome (336969633).

The spelling of 106534032 in words is "one hundred six million, five hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 201769 403538 605307 807076 1210614 1614152 2219459 2421228 3228304 4438918 4842456 6658377 8877836 9684912 13316754 17755672 26633508 35511344 53267016 106534032