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106610656 = 2515592137
BaseRepresentation
bin1100101101010…
…11111111100000
321102121101022211
412112223333200
5204243020111
614325011504
72433114145
oct626537740
9242541284
10106610656
11551a7189
122b853b94
1319119739
14102323cc
15955d521
hex65abfe0

106610656 has 24 divisors (see below), whose sum is σ = 210122640. Its totient is φ = 53246208.

The previous prime is 106610593. The next prime is 106610659. The reversal of 106610656 is 656016601.

It is a super-2 number, since 2×1066106562 = 22731663945500672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106610659) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48820 + ... + 50956.

It is an arithmetic number, because the mean of its divisors is an integer number (8755110).

Almost surely, 2106610656 is an apocalyptic number.

106610656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106610656 is a deficient number, since it is larger than the sum of its proper divisors (103511984).

106610656 is a wasteful number, since it uses less digits than its factorization.

106610656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 106610656 is about 10325.2436290869. The cubic root of 106610656 is about 474.1694160794.

The spelling of 106610656 in words is "one hundred six million, six hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 1559 2137 3118 4274 6236 8548 12472 17096 24944 34192 49888 68384 3331583 6663166 13326332 26652664 53305328 106610656