1021081600 has 432 divisors, whose sum is σ = 3299554440. Its totient is φ = 309657600.

The previous prime is 1021081597. The next prime is 1021081609. The reversal of 1021081600 is 61801201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021081609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27596782 + ... + 27596818.

Almost surely, 2^1021081600 is an apocalyptic number.

1021081600 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 1021081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649777220).

1021081600 is an abundant number, since it is smaller than the sum of its proper divisors (2278472840).

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

1021081600 is a wasteful number, since it uses less digits than its factorization.

1021081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1021081600 is about 31954.3674636191. The cubic root of 1021081600 is about 1006.9783888119.

Adding to 1021081600 its reverse (61801201), we get a palindrome (1082882801).

The spelling of 1021081600 in words is "one billion, twenty-one million, eighty-one thousand, six hundred".