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112025106 = 234977129
BaseRepresentation
bin1101010110101…
…01111000010010
321210210110120000
412223111320102
5212134300411
615041030430
72530124544
oct653257022
9253713500
10112025106
1158265136
1231625416
131a29405b
1410c41694
159c7c956
hex6ad5e12

112025106 has 40 divisors (see below), whose sum is σ = 253642620. Its totient is φ = 36951552.

The previous prime is 112025099. The next prime is 112025107. The reversal of 112025106 is 601520211.

It can be written as a sum of positive squares in 2 ways, for example, as 111830625 + 194481 = 10575^2 + 441^2 .

It is a super-2 number, since 2×1120251062 = 25099248748622472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112025107) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12150 + ... + 19278.

Almost surely, 2112025106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112025106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126821310).

112025106 is an abundant number, since it is smaller than the sum of its proper divisors (141617514).

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

112025106 is an equidigital number, since it uses as much as digits as its factorization.

112025106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 112025106 is about 10584.1913248013. The cubic root of 112025106 is about 482.0644674249.

Adding to 112025106 its reverse (601520211), we get a palindrome (713545317).

The spelling of 112025106 in words is "one hundred twelve million, twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 7129 7857 14258 15714 21387 42774 64161 128322 192483 384966 577449 691513 1154898 1383026 2074539 4149078 6223617 12447234 18670851 37341702 56012553 112025106