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106203773 = 1314954829
BaseRepresentation
bin1100101010010…
…00101001111101
321101211201012002
412111020221331
5204142010043
614312152045
72426500664
oct625105175
9241751162
10106203773
1154a49515
122b698625
1319006490
1410167ddb
1594ccbb8
hex6548a7d

106203773 has 8 divisors (see below), whose sum is σ = 115143000. Its totient is φ = 97374528.

The previous prime is 106203761. The next prime is 106203793. The reversal of 106203773 is 377302601.

It can be written as a sum of positive squares in 4 ways, for example, as 3829849 + 102373924 = 1957^2 + 10118^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106203773 - 210 = 106202749 is a prime.

It is a super-2 number, since 2×1062037732 = 22558482798871058, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106203793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25478 + ... + 29351.

It is an arithmetic number, because the mean of its divisors is an integer number (14392875).

Almost surely, 2106203773 is an apocalyptic number.

106203773 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106203773 is a deficient number, since it is larger than the sum of its proper divisors (8939227).

106203773 is a wasteful number, since it uses less digits than its factorization.

106203773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54991.

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 106203773 is about 10305.5214812255. The cubic root of 106203773 is about 473.5654194229.

The spelling of 106203773 in words is "one hundred six million, two hundred three thousand, seven hundred seventy-three".

Divisors: 1 13 149 1937 54829 712777 8169521 106203773