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106291040 = 255664319
BaseRepresentation
bin1100101010111…
…01111101100000
321102000010220012
412111131331200
5204202303130
614314104052
72430313262
oct625357540
9242003805
10106291040
1154aa9039
122b71b028
131903710b
141018bb32
1594e8995
hex655df60

106291040 has 24 divisors (see below), whose sum is σ = 251112960. Its totient is φ = 42516352.

The previous prime is 106291019. The next prime is 106291043. The reversal of 106291040 is 40192601.

It is a happy number.

It is a super-2 number, since 2×1062910402 = 22595570368563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106290997 and 106291015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106291043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332000 + ... + 332319.

It is an arithmetic number, because the mean of its divisors is an integer number (10463040).

Almost surely, 2106291040 is an apocalyptic number.

106291040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106291040 is an abundant number, since it is smaller than the sum of its proper divisors (144821920).

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

106291040 is an equidigital number, since it uses as much as digits as its factorization.

106291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664334 (or 664326 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 106291040 is about 10309.7546042571. The cubic root of 106291040 is about 473.6950925289.

The spelling of 106291040 in words is "one hundred six million, two hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 664319 1328638 2657276 3321595 5314552 6643190 10629104 13286380 21258208 26572760 53145520 106291040