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106422116960 = 255665138231
BaseRepresentation
bin110001100011101000…
…0001010001001100000
3101011200201222200112102
41203013100022021200
53220423030220320
6120520055145532
710455145032365
oct1430720121140
9334621880472
10106422116960
1141151568685
12187606752a8
13a060191953
145217d5046c
152b7ce54175
hex18c740a260

106422116960 has 24 divisors (see below), whose sum is σ = 251422251696. Its totient is φ = 42568846720.

The previous prime is 106422116951. The next prime is 106422116971. The reversal of 106422116960 is 69611224601.

106422116960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064221169602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 332568956 + ... + 332569275.

It is an arithmetic number, because the mean of its divisors is an integer number (10475927154).

Almost surely, 2106422116960 is an apocalyptic number.

106422116960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106422116960 is an abundant number, since it is smaller than the sum of its proper divisors (145000134736).

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

106422116960 is an equidigital number, since it uses as much as digits as its factorization.

106422116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665138246 (or 665138238 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 106422116960 in words is "one hundred six billion, four hundred twenty-two million, one hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 665138231 1330276462 2660552924 3325691155 5321105848 6651382310 10642211696 13302764620 21284423392 26605529240 53211058480 106422116960