1050640100 has 72 divisors (see below), whose sum is σ = 2323887720. Its totient is φ = 412231680.

The previous prime is 1050640099. The next prime is 1050640109. The reversal of 1050640100 is 10460501.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 772951204 + 277688896 = 27802^2 + 16664^2 .

It is a super-2 number, since 2×1050640100² = 2207689239456020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1050640109) 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, 1231274 + ... + 1232126.

Almost surely, 2^1050640100 is an apocalyptic number.

1050640100 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 1050640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161943860).

1050640100 is an abundant number, since it is smaller than the sum of its proper divisors (1273247620).

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

1050640100 is a wasteful number, since it uses less digits than its factorization.

1050640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1082 counting only the distinct ones).

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

The square root of 1050640100 is about 32413.5789446337. The cubic root of 1050640100 is about 1016.6028530522.

The spelling of 1050640100 in words is "one billion, fifty million, six hundred forty thousand, one hundred".