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106012314 = 234654397
BaseRepresentation
bin1100101000110…
…01111010011010
321101110222120000
412110121322122
5204114343224
614304113430
72425042542
oct624317232
9241428500
10106012314
1154928691
122b605876
1318c6a2a5
1410118322
1594910c9
hex6519e9a

106012314 has 20 divisors (see below), whose sum is σ = 237546474. Its totient is φ = 35337384.

The previous prime is 106012297. The next prime is 106012339. The reversal of 106012314 is 413210601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 62015625 + 43996689 = 7875^2 + 6633^2 .

It is a super-2 number, since 2×1060123142 = 22477221439269192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 327037 + ... + 327360.

Almost surely, 2106012314 is an apocalyptic number.

106012314 is an abundant number, since it is smaller than the sum of its proper divisors (131534160).

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

106012314 is an equidigital number, since it uses as much as digits as its factorization.

106012314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654411 (or 654402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106012314 is about 10296.2281443255. The cubic root of 106012314 is about 473.2806746727.

Adding to 106012314 its reverse (413210601), we get a palindrome (519222915).

The spelling of 106012314 in words is "one hundred six million, twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 654397 1308794 1963191 3926382 5889573 11779146 17668719 35337438 53006157 106012314