10054656 has 66 divisors (see below), whose sum is σ = 29059212. Its totient is φ = 3348480.

The previous prime is 10054631. The next prime is 10054661. The reversal of 10054656 is 65645001.

It is a happy number.

10054656 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 4 + 656 = 666.

It is a super-2 number, since 2×10054656² = 202192214556672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8671 + ... + 9761.

Almost surely, 2^10054656 is an apocalyptic number.

10054656 is a gapful number since it is divisible by the number (16) 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 10054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529606).

10054656 is an abundant number, since it is smaller than the sum of its proper divisors (19004556).

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

10054656 is a wasteful number, since it uses less digits than its factorization.

10054656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 10054656 is about 3170.9077564634. The cubic root of 10054656 is about 215.8352653418.

Adding to 10054656 its reverse (65645001), we get a palindrome (75699657).

It can be divided in two parts, 100 and 54656, that added together give a square (54756 = 234²).

The spelling of 10054656 in words is "ten million, fifty-four thousand, six hundred fifty-six".