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106622971 = 7213592837
BaseRepresentation
bin1100101101011…
…10111111111011
321102122000012221
412112232333323
5204243413341
614325144511
72433165100
oct626567773
9242560187
10106622971
1155205464
122b85b137
1319122220
1410236aa7
159561ed1
hex65aeffb

106622971 has 24 divisors (see below), whose sum is σ = 135883440. Its totient is φ = 82901952.

The previous prime is 106622969. The next prime is 106622983. The reversal of 106622971 is 179226601.

It is not a de Polignac number, because 106622971 - 21 = 106622969 is a prime.

It is a super-2 number, since 2×1066229712 = 22736915889733682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106622911) 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, 36165 + ... + 39001.

It is an arithmetic number, because the mean of its divisors is an integer number (5661810).

Almost surely, 2106622971 is an apocalyptic number.

106622971 is a deficient number, since it is larger than the sum of its proper divisors (29260469).

106622971 is a wasteful number, since it uses less digits than its factorization.

106622971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 106622971 is about 10325.8399658333. The cubic root of 106622971 is about 474.1876730772.

The spelling of 106622971 in words is "one hundred six million, six hundred twenty-two thousand, nine hundred seventy-one".

Divisors: 1 7 13 49 59 91 413 637 767 2837 2891 5369 19859 36881 37583 139013 167383 258167 1171681 1807169 2175979 8201767 15231853 106622971