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106093056 = 293172239
BaseRepresentation
bin1100101001011…
…01101000000000
321101122002022110
412110231220000
5204124434211
614305535320
72425530126
oct624555000
9241562273
10106093056
1154983313
122b644540
1318c97c74
1410139916
1594a9ea6
hex652da00

106093056 has 120 divisors (see below), whose sum is σ = 301498560. Its totient is φ = 33144832.

The previous prime is 106093003. The next prime is 106093061. The reversal of 106093056 is 650390601.

It is a happy number.

It is a super-2 number, since 2×1060930562 = 22511473062838272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443785 + ... + 444023.

It is an arithmetic number, because the mean of its divisors is an integer number (2512488).

Almost surely, 2106093056 is an apocalyptic number.

106093056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106093056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150749280).

106093056 is an abundant number, since it is smaller than the sum of its proper divisors (195405504).

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

106093056 is an equidigital number, since it uses as much as digits as its factorization.

106093056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 106093056 is about 10300.1483484462. The cubic root of 106093056 is about 473.4007988651.

The spelling of 106093056 in words is "one hundred six million, ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 239 256 272 289 384 408 478 512 544 578 717 768 816 867 956 1088 1156 1434 1536 1632 1734 1912 2176 2312 2868 3264 3468 3824 4063 4352 4624 5736 6528 6936 7648 8126 8704 9248 11472 12189 13056 13872 15296 16252 18496 22944 24378 26112 27744 30592 32504 36992 45888 48756 55488 61184 65008 69071 73984 91776 97512 110976 122368 130016 138142 147968 183552 195024 207213 221952 260032 276284 367104 390048 414426 443904 520064 552568 780096 828852 1040128 1105136 1560192 1657704 2080256 2210272 3120384 3315408 4420544 6240768 6630816 8841088 13261632 17682176 26523264 35364352 53046528 106093056