10054160 has 40 divisors (see below), whose sum is σ = 23610840. Its totient is φ = 3981312.

The previous prime is 10054159. The next prime is 10054169. The reversal of 10054160 is 6145001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2999824 + 7054336 = 1732^2 + 2656^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10054160² = 202172266611200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8144 + ... + 9296.

It is an arithmetic number, because the mean of its divisors is an integer number (590271).

Almost surely, 2^10054160 is an apocalyptic number.

10054160 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 10054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805420).

10054160 is an abundant number, since it is smaller than the sum of its proper divisors (13556680).

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

10054160 is a wasteful number, since it uses less digits than its factorization.

10054160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10054160 is about 3170.8295444568. The cubic root of 10054160 is about 215.8317162049.

Adding to 10054160 its reverse (6145001), we get a palindrome (16199161).

The spelling of 10054160 in words is "ten million, fifty-four thousand, one hundred sixty".