10054880 has 96 divisors (see below), whose sum is σ = 26943840. Its totient is φ = 3512320.

The previous prime is 10054879. The next prime is 10054901. The reversal of 10054880 is 8845001.

It is a super-2 number, since 2×10054880² = 202201223628800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50942 + ... + 51138.

It is an arithmetic number, because the mean of its divisors is an integer number (280665).

Almost surely, 2^10054880 is an apocalyptic number.

10054880 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 10054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471920).

10054880 is an abundant number, since it is smaller than the sum of its proper divisors (16888960).

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

10054880 is a wasteful number, since it uses less digits than its factorization.

10054880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 10054880 is about 3170.9430773825. The cubic root of 10054880 is about 215.8368681396.

Adding to 10054880 its reverse (8845001), we get a palindrome (18899881).

It can be divided in two parts, 1005 and 4880, that added together give a palindrome (5885).

The spelling of 10054880 in words is "ten million, fifty-four thousand, eight hundred eighty".