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106203612 = 22341732957
BaseRepresentation
bin1100101010010…
…00100111011100
321101211200222010
412111020213130
5204142003422
614312151220
72426500344
oct625104734
9241750863
10106203612
1154a49389
122b698510
1319006398
1410167d24
1594ccb0c
hex65489dc

106203612 has 48 divisors (see below), whose sum is σ = 257416992. Its totient is φ = 34053120.

The previous prime is 106203589. The next prime is 106203619. The reversal of 106203612 is 216302601.

It is a happy number.

106203612 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1062036122 = 22558414403693088, which contains 22 as substring.

106203612 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106203619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34438 + ... + 37394.

It is an arithmetic number, because the mean of its divisors is an integer number (5362854).

Almost surely, 2106203612 is an apocalyptic number.

106203612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106203612 is an abundant number, since it is smaller than the sum of its proper divisors (151213380).

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

106203612 is a wasteful number, since it uses less digits than its factorization.

106203612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106203612 is about 10305.5136698759. The cubic root of 106203612 is about 473.5651801217.

The spelling of 106203612 in words is "one hundred six million, two hundred three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 41 73 82 123 146 164 219 246 292 438 492 876 2957 2993 5914 5986 8871 8979 11828 11972 17742 17958 35484 35916 121237 215861 242474 363711 431722 484948 647583 727422 863444 1295166 1454844 2590332 8850301 17700602 26550903 35401204 53101806 106203612