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106043203104 = 253192329101863
BaseRepresentation
bin110001011000010101…
…0101101111000100000
3101010201022222212102220
41202300222231320200
53214134024444404
6120414321511040
710442564232306
oct1426052557040
9333638885386
10106043203104
1140a77695033
12186757a2480
139ccc823c77
1451bd8b8276
152b59a584d9
hex18b0aade20

106043203104 has 384 divisors, whose sum is σ = 319798886400. Its totient is φ = 30585139200.

The previous prime is 106043203103. The next prime is 106043203141. The reversal of 106043203104 is 401302340601.

It is a super-2 number, since 2×1060432031042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106043203103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122876977 + ... + 122877839.

It is an arithmetic number, because the mean of its divisors is an integer number (832809600).

Almost surely, 2106043203104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106043203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159899443200).

106043203104 is an abundant number, since it is smaller than the sum of its proper divisors (213755683296).

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

106043203104 is a wasteful number, since it uses less digits than its factorization.

106043203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 106043203104 its reverse (401302340601), we get a palindrome (507345543705).

The spelling of 106043203104 in words is "one hundred six billion, forty-three million, two hundred three thousand, one hundred four".