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106412103 = 3371929633
BaseRepresentation
bin1100101011110…
…11100001000111
321102020021222000
412111323201013
5204220141403
614320440343
72431326240
oct625734107
9242207860
10106412103
1155080a96
122b7790b3
131907a255
14101bdcc7
15951e7a3
hex657b847

106412103 has 32 divisors (see below), whose sum is σ = 189657600. Its totient is φ = 57604608.

The previous prime is 106412087. The next prime is 106412113. The reversal of 106412103 is 301214601.

It is a happy number.

106412103 is a `hidden beast` number, since 1 + 0 + 641 + 21 + 0 + 3 = 666.

It is not a de Polignac number, because 106412103 - 24 = 106412087 is a prime.

It is a super-2 number, since 2×1064121032 = 22647071329765218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106412113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11226 + ... + 18407.

It is an arithmetic number, because the mean of its divisors is an integer number (5926800).

Almost surely, 2106412103 is an apocalyptic number.

106412103 is a deficient number, since it is larger than the sum of its proper divisors (83245497).

106412103 is a wasteful number, since it uses less digits than its factorization.

106412103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29668 (or 29662 counting only the distinct ones).

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

The square root of 106412103 is about 10315.6242176613. The cubic root of 106412103 is about 473.8748668243.

Adding to 106412103 its reverse (301214601), we get a palindrome (407626704).

The spelling of 106412103 in words is "one hundred six million, four hundred twelve thousand, one hundred three".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 29633 88899 207431 266697 563027 622293 800091 1689081 1866879 3941189 5067243 5600637 11823567 15201729 35470701 106412103