10054080 has 84 divisors (see below), whose sum is σ = 34591752. Its totient is φ = 2680320.

The previous prime is 10054069. The next prime is 10054091. The reversal of 10054080 is 8045001.

It is an interprime number because it is at equal distance from previous prime (10054069) and next prime (10054091).

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 11 ways as a sum of consecutive naturals, for example, 1135 + ... + 4625.

Almost surely, 2^10054080 is an apocalyptic number.

10054080 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 10054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295876).

10054080 is an abundant number, since it is smaller than the sum of its proper divisors (24537672).

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

10054080 is a wasteful number, since it uses less digits than its factorization.

10054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3501 counting only the distinct ones).

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

The square root of 10054080 is about 3170.8169294363. The cubic root of 10054080 is about 215.8311437526.

Adding to 10054080 its reverse (8045001), we get a palindrome (18099081).

The spelling of 10054080 in words is "ten million, fifty-four thousand, eighty".