1056100 has 36 divisors (see below), whose sum is σ = 2343600. Its totient is φ = 412960.

The previous prime is 1056089. The next prime is 1056109. The reversal of 1056100 is 16501.

It is a super-2 number, since 2×1056100² = 2230694420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5811 + ... + 5989.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

2^1056100 is an apocalyptic number.

1056100 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 1056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171800).

1056100 is an abundant number, since it is smaller than the sum of its proper divisors (1287500).

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

1056100 is a wasteful number, since it uses less digits than its factorization.

1056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1056100 is about 1027.6672613254. The cubic root of 1056100 is about 101.8360817130.

It can be divided in two parts, 1056 and 100, that added together give a square (1156 = 34²).

The spelling of 1056100 in words is "one million, fifty-six thousand, one hundred".