10054968 has 64 divisors (see below), whose sum is σ = 31345920. Its totient is φ = 2611200.

The previous prime is 10054937. The next prime is 10054987. The reversal of 10054968 is 86945001.

10054968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10054968² = 202204762962048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873 + ... + 4568.

It is an arithmetic number, because the mean of its divisors is an integer number (489780).

Almost surely, 2^10054968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10054968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672960).

10054968 is an abundant number, since it is smaller than the sum of its proper divisors (21290952).

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

10054968 is a wasteful number, since it uses less digits than its factorization.

10054968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10054968 is about 3170.9569533502. The cubic root of 10054968 is about 215.8374978036.

Adding to 10054968 its sum of digits (33), we get a palindrome (10055001).

Adding to 10054968 its reverse (86945001), we get a palindrome (96999969).

The spelling of 10054968 in words is "ten million, fifty-four thousand, nine hundred sixty-eight".