4280107104 has 288 divisors, whose sum is σ = 15074579520. Its totient is φ = 1121734656.

The previous prime is 4280107103. The next prime is 4280107141. The reversal of 4280107104 is 4017010824.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4280107104² = 36638633643422533632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280107103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5162562 + ... + 5163390.

It is an arithmetic number, because the mean of its divisors is an integer number (52342290).

Almost surely, 2^4280107104 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 4280107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537289760).

4280107104 is an abundant number, since it is smaller than the sum of its proper divisors (10794472416).

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

4280107104 is a wasteful number, since it uses less digits than its factorization.

4280107104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4280107104 is about 65422.5274962684. The cubic root of 4280107104 is about 1623.6218189666.

Adding to 4280107104 its reverse (4017010824), we get a palindrome (8297117928).

The spelling of 4280107104 in words is "four billion, two hundred eighty million, one hundred seven thousand, one hundred four".