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106623696 = 24311092003
BaseRepresentation
bin1100101101011…
…11001011010000
321102122001012210
412112233023100
5204243424241
614325152120
72433200154
oct626571320
9242561183
10106623696
1155205a63
122b85b640
131912265a
1410237064
159562316
hex65af2d0

106623696 has 40 divisors (see below), whose sum is σ = 275830560. Its totient is φ = 35491456.

The previous prime is 106623641. The next prime is 106623697. The reversal of 106623696 is 696326601.

It is a happy number.

It is a super-2 number, since 2×1066236962 = 22737225097400832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106623697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52231 + ... + 54233.

It is an arithmetic number, because the mean of its divisors is an integer number (6895764).

Almost surely, 2106623696 is an apocalyptic number.

106623696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106623696 is an abundant number, since it is smaller than the sum of its proper divisors (169206864).

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

106623696 is a wasteful number, since it uses less digits than its factorization.

106623696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 106623696 is about 10325.8750718765. The cubic root of 106623696 is about 474.1887478465.

The spelling of 106623696 in words is "one hundred six million, six hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 1109 2003 2218 3327 4006 4436 6009 6654 8012 8872 12018 13308 16024 17744 24036 26616 32048 48072 53232 96144 2221327 4442654 6663981 8885308 13327962 17770616 26655924 35541232 53311848 106623696