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106032078 = 2351072039
BaseRepresentation
bin1100101000111…
…10101111001110
321101111222200000
412110132233032
5204121011303
614304345130
72425154265
oct624365716
9241458600
10106032078
1154941519
122b6151a6
1318c76299
14101215dc
159496da3
hex651ebce

106032078 has 48 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 34996536.

The previous prime is 106032071. The next prime is 106032079. The reversal of 106032078 is 870230601.

It is a super-2 number, since 2×1060320782 = 22485603129996168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106032071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50983 + ... + 53021.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2106032078 is an apocalyptic number.

106032078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106032078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

106032078 is an abundant number, since it is smaller than the sum of its proper divisors (134557362).

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

106032078 is a wasteful number, since it uses less digits than its factorization.

106032078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106032078 is about 10297.1878685396. The cubic root of 106032078 is about 473.3100842688.

Adding to 106032078 its reverse (870230601), we get a palindrome (976262679).

The spelling of 106032078 in words is "one hundred six million, thirty-two thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 321 486 642 963 1926 2039 2889 4078 5778 6117 8667 12234 17334 18351 26001 36702 52002 55053 110106 165159 218173 330318 436346 495477 654519 990954 1309038 1963557 3927114 5890671 11781342 17672013 35344026 53016039 106032078