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106427112 = 23311403133
BaseRepresentation
bin1100101011111…
…11001011101000
321102021001112220
412111333023220
5204221131422
614321034040
72431421061
oct625771350
9242231486
10106427112
11550912a0
122b785920
131908402c
14101c5568
159523e5c
hex657f2e8

106427112 has 32 divisors (see below), whose sum is σ = 290256480. Its totient is φ = 32250560.

The previous prime is 106427081. The next prime is 106427147. The reversal of 106427112 is 211724601.

It is a super-2 number, since 2×1064271122 = 22653460337321088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201303 + ... + 201830.

It is an arithmetic number, because the mean of its divisors is an integer number (9070515).

Almost surely, 2106427112 is an apocalyptic number.

106427112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106427112 is an abundant number, since it is smaller than the sum of its proper divisors (183829368).

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

106427112 is a wasteful number, since it uses less digits than its factorization.

106427112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403153 (or 403149 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 106427112 is about 10316.3516807057. The cubic root of 106427112 is about 473.8971451595.

The spelling of 106427112 in words is "one hundred six million, four hundred twenty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 403133 806266 1209399 1612532 2418798 3225064 4434463 4837596 8868926 9675192 13303389 17737852 26606778 35475704 53213556 106427112