10054980 has 72 divisors (see below), whose sum is σ = 32853912. Its totient is φ = 2474496.

The previous prime is 10054937. The next prime is 10054987. The reversal of 10054980 is 8945001.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 9847044 = 456^2 + 3138^2 .

It is a super-2 number, since 2×10054980² = 202205245600800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10054987) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 192 + ... + 4488.

Almost surely, 2^10054980 is an apocalyptic number.

10054980 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 10054980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426956).

10054980 is an abundant number, since it is smaller than the sum of its proper divisors (22798932).

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

10054980 is a wasteful number, since it uses less digits than its factorization.

10054980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10054980 is about 3170.9588455229. The cubic root of 10054980 is about 215.8375836666.

Adding to 10054980 its reverse (8945001), we get a palindrome (18999981).

The spelling of 10054980 in words is "ten million, fifty-four thousand, nine hundred eighty".