Search a number
-
+
106922637360 = 243457211423
BaseRepresentation
bin110001110010100010…
…1011111100000110000
3101012222121210202110000
41203211011133200300
53222434143343420
6121041455110000
710503433264500
oct1434505374060
9335877722400
10106922637360
1141389050000
1218880212300
13a10ca99876
1452645dda00
152babd71690
hex18e515f830

106922637360 has 1500 divisors, whose sum is σ = 495844089840. Its totient is φ = 21251704320.

The previous prime is 106922637347. The next prime is 106922637421. The reversal of 106922637360 is 63736229601.

106922637360 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 2 + 2 + 637 + 3 + 6 + 0 = 666.

106922637360 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 2×1069226373602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 4648810309 + ... + 4648810331.

Almost surely, 2106922637360 is an apocalyptic number.

106922637360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106922637360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247922044920).

106922637360 is an abundant number, since it is smaller than the sum of its proper divisors (388921452480).

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

106922637360 is an equidigital number, since it uses as much as digits as its factorization.

106922637360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 106922637360 in words is "one hundred six billion, nine hundred twenty-two million, six hundred thirty-seven thousand, three hundred sixty".