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106645056 = 263779349
BaseRepresentation
bin1100101101101…
…00011001000000
321102200010111220
412112310121000
5204300120211
614325435040
72433316350
oct626643100
9242603456
10106645056
1155220011
122b86ba80
131912c2ab
1410240b60
159568806
hex65b4640

106645056 has 56 divisors (see below), whose sum is σ = 322478400. Its totient is φ = 30469632.

The previous prime is 106645013. The next prime is 106645057. The reversal of 106645056 is 650546601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1066450562 = 22746335938486272, which contains 22 as substring.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (106645057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38331 + ... + 41018.

Almost surely, 2106645056 is an apocalyptic number.

106645056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106645056 is an abundant number, since it is smaller than the sum of its proper divisors (215833344).

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

106645056 is an equidigital number, since it uses as much as digits as its factorization.

106645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79371 (or 79361 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 106645056 is about 10326.9093149887. The cubic root of 106645056 is about 474.2204105873.

The spelling of 106645056 in words is "one hundred six million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 79349 158698 238047 317396 476094 555443 634792 952188 1110886 1269584 1666329 1904376 2221772 2539168 3332658 3808752 4443544 5078336 6665316 7617504 8887088 13330632 15235008 17774176 26661264 35548352 53322528 106645056