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106661884 = 22729131357
BaseRepresentation
bin1100101101110…
…00011111111100
321102200222121011
412112320133330
5204301140014
614330045004
72433416410
oct626703774
9242628534
10106661884
115523171a
122b879764
1319136b54
1410246d40
15956d7c4
hex65b87fc

106661884 has 24 divisors (see below), whose sum is σ = 220681440. Its totient is φ = 44135616.

The previous prime is 106661881. The next prime is 106661899. The reversal of 106661884 is 488166601.

It is a super-2 number, since 2×1066618842 = 22753514996858912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106661881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64867 + ... + 66490.

It is an arithmetic number, because the mean of its divisors is an integer number (9195060).

Almost surely, 2106661884 is an apocalyptic number.

106661884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106661884 is an abundant number, since it is smaller than the sum of its proper divisors (114019556).

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

106661884 is a wasteful number, since it uses less digits than its factorization.

106661884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131397 (or 131395 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 106661884 is about 10327.7240474366. The cubic root of 106661884 is about 474.2453523948.

The spelling of 106661884 in words is "one hundred six million, six hundred sixty-one thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 131357 262714 525428 919499 1838998 3677996 3809353 7618706 15237412 26665471 53330942 106661884