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106924770 = 23252774289
BaseRepresentation
bin1100101111110…
…00101011100010
321110012100012200
412113320223202
5204333043040
614335434030
72435563011
oct627705342
9243170180
10106924770
11553a1187
122b985916
13191c96c4
14102b4a78
1595c1630
hex65f8ae2

106924770 has 48 divisors (see below), whose sum is σ = 279073080. Its totient is φ = 28403712.

The previous prime is 106924733. The next prime is 106924771. The reversal of 106924770 is 77429601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92794689 + 14130081 = 9633^2 + 3759^2 .

It is a super-2 number, since 2×1069247702 = 22865812879105800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106924771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22786 + ... + 27074.

Almost surely, 2106924770 is an apocalyptic number.

106924770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106924770 is an abundant number, since it is smaller than the sum of its proper divisors (172148310).

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

106924770 is a wasteful number, since it uses less digits than its factorization.

106924770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106924770 is about 10340.4434140901. The cubic root of 106924770 is about 474.6346516574.

The spelling of 106924770 in words is "one hundred six million, nine hundred twenty-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 277 554 831 1385 1662 2493 2770 4155 4289 4986 8310 8578 12465 12867 21445 24930 25734 38601 42890 64335 77202 128670 193005 386010 1188053 2376106 3564159 5940265 7128318 10692477 11880530 17820795 21384954 35641590 53462385 106924770