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106310912 = 282631579
BaseRepresentation
bin1100101011000…
…10110100000000
321102001011011012
412111202310000
5204203422122
614314340052
72430425231
oct625426400
9242034135
10106310912
1155011a64
122b72a628
1319043186
1410195088
1594ee7e2
hex6562d00

106310912 has 36 divisors (see below), whose sum is σ = 213148320. Its totient is φ = 52919808.

The previous prime is 106310903. The next prime is 106310917. The reversal of 106310912 is 219013601.

It is a happy number.

It is a super-2 number, since 2×1063109122 = 22604020020543488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106310917) 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, 66539 + ... + 68117.

Almost surely, 2106310912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106310912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106574160).

106310912 is an abundant number, since it is smaller than the sum of its proper divisors (106837408).

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

106310912 is an equidigital number, since it uses as much as digits as its factorization.

106310912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 106310912 is about 10310.7183066943. The cubic root of 106310912 is about 473.7246111108.

The spelling of 106310912 in words is "one hundred six million, three hundred ten thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 263 526 1052 1579 2104 3158 4208 6316 8416 12632 16832 25264 33664 50528 67328 101056 202112 404224 415277 830554 1661108 3322216 6644432 13288864 26577728 53155456 106310912