1061050400 has 36 divisors (see below), whose sum is σ = 2590291242. Its totient is φ = 424419840.

The previous prime is 1061050399. The next prime is 1061050429. The reversal of 1061050400 is 40501601.

It is a happy number.

1061050400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 675792016 + 385258384 = 25996^2 + 19628^2 .

It is a super-2 number, since 2×1061050400² = 2251655902680320000, 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, 662357 + ... + 663956.

Almost surely, 2^1061050400 is an apocalyptic number.

1061050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061050400 is an abundant number, since it is smaller than the sum of its proper divisors (1529240842).

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

1061050400 is a wasteful number, since it uses less digits than its factorization.

1061050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326333 (or 1326320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1061050400 is about 32573.7685876228. The cubic root of 1061050400 is about 1019.9495041002.

The spelling of 1061050400 in words is "one billion, sixty-one million, fifty thousand, four hundred".