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106611164 = 221122361157
BaseRepresentation
bin1100101101011…
…00000111011100
321102121102000122
412112230013130
5204243024124
614325014112
72433115502
oct626540734
9242542018
10106611164
11551a7600
122b854338
1319119a3a
1410232672
15955d75e
hex65ac1dc

106611164 has 72 divisors (see below), whose sum is σ = 218881824. Its totient is φ = 45302400.

The previous prime is 106611161. The next prime is 106611173. The reversal of 106611164 is 461116601.

It is a super-2 number, since 2×1066111642 = 22731880578869792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106611161) 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, 678974 + ... + 679130.

Almost surely, 2106611164 is an apocalyptic number.

It is an amenable number.

106611164 is an abundant number, since it is smaller than the sum of its proper divisors (112270660).

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

106611164 is a wasteful number, since it uses less digits than its factorization.

106611164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106611164 is about 10325.2682289614. The cubic root of 106611164 is about 474.1701692176.

Adding to 106611164 its reverse (461116601), we get a palindrome (567727765).

The spelling of 106611164 in words is "one hundred six million, six hundred eleven thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 23 44 46 61 92 121 122 157 242 244 253 314 484 506 628 671 1012 1342 1403 1727 2684 2783 2806 3454 3611 5566 5612 6908 7222 7381 9577 11132 14444 14762 15433 18997 19154 29524 30866 37994 38308 39721 61732 75988 79442 105347 158884 169763 210694 220271 339526 421388 436931 440542 679052 873862 881084 1158817 1747724 2317634 2422981 4635268 4845962 9691924 26652791 53305582 106611164