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106004341296 = 243272171794937
BaseRepresentation
bin110001010111001011…
…0011110001000110000
3101010121121212111001200
41202232112132020300
53214044102410141
6120410412531200
710441613014500
oct1425626361060
9333547774050
10106004341296
1140a57761637
1218664780b00
139cc4768509
1451b867da00
152b5642dab6
hex18ae59e230

106004341296 has 360 divisors, whose sum is σ = 367515785520. Its totient is φ = 28340379648.

The previous prime is 106004341253. The next prime is 106004341327. The reversal of 106004341296 is 692143400601.

106004341296 = 575402 + 575412 + ... + 575712.

106004341296 is a `hidden beast` number, since 1 + 0 + 600 + 4 + 3 + 41 + 2 + 9 + 6 = 666.

It is a super-2 number, since 2×1060043412962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106004341296.

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 71 ways as a sum of consecutive naturals, for example, 21468940 + ... + 21473876.

It is an arithmetic number, because the mean of its divisors is an integer number (1020877182).

Almost surely, 2106004341296 is an apocalyptic number.

106004341296 is a gapful number since it is divisible by the number (16) 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 106004341296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183757892760).

106004341296 is an abundant number, since it is smaller than the sum of its proper divisors (261511444224).

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

106004341296 is a wasteful number, since it uses less digits than its factorization.

106004341296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 106004341296 its reverse (692143400601), we get a palindrome (798147741897).

The spelling of 106004341296 in words is "one hundred six billion, four million, three hundred forty-one thousand, two hundred ninety-six".