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106204014 = 2337280963
BaseRepresentation
bin1100101010010…
…00101101101110
321101211201112000
412111020231232
5204142012024
614312153130
72426501460
oct625105556
9241751460
10106204014
1154a49714
122b6987a6
1319006617
1410168130
1594cccc9
hex6548b6e

106204014 has 32 divisors (see below), whose sum is σ = 269725440. Its totient is φ = 30343896.

The previous prime is 106204013. The next prime is 106204031. The reversal of 106204014 is 410402601.

106204014 is a `hidden beast` number, since 1 + 0 + 620 + 40 + 1 + 4 = 666.

It is a super-2 number, since 2×1062040142 = 22558585179424392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106204013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140104 + ... + 140859.

It is an arithmetic number, because the mean of its divisors is an integer number (8428920).

Almost surely, 2106204014 is an apocalyptic number.

106204014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106204014 is an abundant number, since it is smaller than the sum of its proper divisors (163521426).

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

106204014 is a wasteful number, since it uses less digits than its factorization.

106204014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280981 (or 280975 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106204014 is about 10305.5331739799. The cubic root of 106204014 is about 473.5657776310.

Adding to 106204014 its reverse (410402601), we get a palindrome (516606615).

The spelling of 106204014 in words is "one hundred six million, two hundred four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 280963 561926 842889 1685778 1966741 2528667 3933482 5057334 5900223 7586001 11800446 15172002 17700669 35401338 53102007 106204014