10405080 has 96 divisors (see below), whose sum is σ = 38656800. Its totient is φ = 2377728.

The previous prime is 10405049. The next prime is 10405099. The reversal of 10405080 is 8050401.

10405080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456 + ... + 4584.

It is an arithmetic number, because the mean of its divisors is an integer number (402675).

Almost surely, 2^10405080 is an apocalyptic number.

10405080 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 10405080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19328400).

10405080 is an abundant number, since it is smaller than the sum of its proper divisors (28251720).

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

10405080 is a wasteful number, since it uses less digits than its factorization.

10405080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10405080 is about 3225.6906237270. The cubic root of 10405080 is about 218.3141110569.

Adding to 10405080 its reverse (8050401), we get a palindrome (18455481).

The spelling of 10405080 in words is "ten million, four hundred five thousand, eighty".