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106317770 = 25132928201
BaseRepresentation
bin1100101011001…
…00011111001010
321102001111120012
412111210133022
5204204132040
614314431522
72430454226
oct625443712
9242044505
10106317770
1155017129
122b7325a2
1319046330
1410197786
159501865
hex65647ca

106317770 has 32 divisors (see below), whose sum is σ = 213207120. Its totient is φ = 37900800.

The previous prime is 106317769. The next prime is 106317773. The reversal of 106317770 is 77713601.

It can be written as a sum of positive squares in 8 ways, for example, as 35438209 + 70879561 = 5953^2 + 8419^2 .

It is a super-2 number, since 2×1063177702 = 22606936435545800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106317773) 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, 10331 + ... + 17870.

Almost surely, 2106317770 is an apocalyptic number.

106317770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106317770 is an abundant number, since it is smaller than the sum of its proper divisors (106889350).

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

106317770 is a wasteful number, since it uses less digits than its factorization.

106317770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28250.

The product of its (nonzero) digits is 6174, while the sum is 32.

The square root of 106317770 is about 10311.0508678796. The cubic root of 106317770 is about 473.7347973763.

The spelling of 106317770 in words is "one hundred six million, three hundred seventeen thousand, seven hundred seventy".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 1885 3770 28201 56402 141005 282010 366613 733226 817829 1635658 1833065 3666130 4089145 8178290 10631777 21263554 53158885 106317770