1050916000 has 96 divisors (see below), whose sum is σ = 2694601728. Its totient is φ = 402054400.

The previous prime is 1050915997. The next prime is 1050916021. The reversal of 1050916000 is 6190501.

1050916000 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 2×1050916000² = 2208848878112000000, which contains 22 as substring.

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, 86289 + ... + 97711.

It is an arithmetic number, because the mean of its divisors is an integer number (28068768).

Almost surely, 2^1050916000 is an apocalyptic number.

1050916000 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 1050916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347300864).

1050916000 is an abundant number, since it is smaller than the sum of its proper divisors (1643685728).

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

1050916000 is a wasteful number, since it uses less digits than its factorization.

1050916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 1050916000 is about 32417.8345976408. The cubic root of 1050916000 is about 1016.6918325163.

The spelling of 1050916000 in words is "one billion, fifty million, nine hundred sixteen thousand".