1056105600 has 384 divisors, whose sum is σ = 3874841280. Its totient is φ = 250675200.

The previous prime is 1056105599. The next prime is 1056105601. The reversal of 1056105600 is 65016501.

1056105600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1056105599) and next prime (1056105601).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1056105600² = 2230718076702720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1056105601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7708732 + ... + 7708868.

Almost surely, 2^1056105600 is an apocalyptic number.

1056105600 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 1056105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937420640).

1056105600 is an abundant number, since it is smaller than the sum of its proper divisors (2818735680).

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

1056105600 is a wasteful number, since it uses less digits than its factorization.

1056105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1056105600 is about 32497.7783856066. The cubic root of 1056105600 is about 1018.3626170896.

It can be divided in two parts, 1056 and 105600, that multiplied together give a square (111513600 = 10560²).

The spelling of 1056105600 in words is "one billion, fifty-six million, one hundred five thousand, six hundred".