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106277376 = 29369191
BaseRepresentation
bin1100101010110…
…10101000000000
321101222110011010
412111122220000
5204201334001
614313520520
72430225402
oct625325000
9241873133
10106277376
1154a99847
122b713140
1319030b2a
1410186b72
1594e48d6
hex655aa00

106277376 has 40 divisors (see below), whose sum is σ = 283133664. Its totient is φ = 35425280.

The previous prime is 106277333. The next prime is 106277383. The reversal of 106277376 is 673772601.

It is a super-2 number, since 2×1062773762 = 22589761298890752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33060 + ... + 36131.

Almost surely, 2106277376 is an apocalyptic number.

106277376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106277376 is an abundant number, since it is smaller than the sum of its proper divisors (176856288).

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

106277376 is an frugal number, since it uses more digits than its factorization.

106277376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69212 (or 69196 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 106277376 is about 10309.0919095719. The cubic root of 106277376 is about 473.6747933982.

The spelling of 106277376 in words is "one hundred six million, two hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 69191 138382 207573 276764 415146 553528 830292 1107056 1660584 2214112 3321168 4428224 6642336 8856448 13284672 17712896 26569344 35425792 53138688 106277376