1051415200 has 144 divisors (see below), whose sum is σ = 2821131936. Its totient is φ = 379468800.

The previous prime is 1051415191. The next prime is 1051415203. The reversal of 1051415200 is 25141501.

1051415200 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 2×1051415200² = 2210947845582080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1051415203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1434034 + ... + 1434766.

It is an arithmetic number, because the mean of its divisors is an integer number (19591194).

Almost surely, 2^1051415200 is an apocalyptic number.

1051415200 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 1051415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410565968).

1051415200 is an abundant number, since it is smaller than the sum of its proper divisors (1769716736).

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

1051415200 is a wasteful number, since it uses less digits than its factorization.

1051415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 1051415200 is about 32425.5331490478. The cubic root of 1051415200 is about 1016.8527880453.

Adding to 1051415200 its reverse (25141501), we get a palindrome (1076556701).

The spelling of 1051415200 in words is "one billion, fifty-one million, four hundred fifteen thousand, two hundred".