1010481600 has 168 divisors, whose sum is σ = 3342607488. Its totient is φ = 267238400.

The previous prime is 1010481599. The next prime is 1010481601. The reversal of 1010481600 is 61840101.

1010481600 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 (1010481599) and next prime (1010481601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010481601) 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, 627997 + ... + 629603.

Almost surely, 2^1010481600 is an apocalyptic number.

1010481600 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 1010481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671303744).

1010481600 is an abundant number, since it is smaller than the sum of its proper divisors (2332125888).

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

1010481600 is a wasteful number, since it uses less digits than its factorization.

1010481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1010481600 is about 31788.0732350987. The cubic root of 1010481600 is about 1003.4817301528.

The spelling of 1010481600 in words is "one billion, ten million, four hundred eighty-one thousand, six hundred".