10056016 has 30 divisors (see below), whose sum is σ = 20574762. Its totient is φ = 4760640.

The previous prime is 10056001. The next prime is 10056089. The reversal of 10056016 is 61065001.

It can be written as a sum of positive squares in only one way, i.e., 5198400 + 4857616 = 2280^2 + 2204^2 .

It is a super-2 number, since 2×10056016² = 202246915584512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 10055984 and 10056002.

It is a congruent number.

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, 4906 + ... + 6646.

Almost surely, 2^10056016 is an apocalyptic number.

10056016 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 10056016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10287381).

10056016 is an abundant number, since it is smaller than the sum of its proper divisors (10518746).

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

10056016 is a wasteful number, since it uses less digits than its factorization.

10056016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10056016 is about 3171.1221988438. The cubic root of 10056016 is about 215.8449962475.

It can be divided in two parts, 100560 and 16, that added together give a triangular number (100576 = T₄₄₈).

The spelling of 10056016 in words is "ten million, fifty-six thousand, sixteen".