1010721600 has 504 divisors, whose sum is σ = 4232054528. Its totient is φ = 223948800.

The previous prime is 1010721589. The next prime is 1010721611. The reversal of 1010721600 is 61270101.

It is an interprime number because it is at equal distance from previous prime (1010721589) and next prime (1010721611).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3729465 + ... + 3729735.

Almost surely, 2^1010721600 is an apocalyptic number.

1010721600 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 1010721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116027264).

1010721600 is an abundant number, since it is smaller than the sum of its proper divisors (3221332928).

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

1010721600 is a wasteful number, since it uses less digits than its factorization.

1010721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1010721600 is about 31791.8480117152. The cubic root of 1010721600 is about 1003.5611696830.

Adding to 1010721600 its reverse (61270101), we get a palindrome (1071991701).

The spelling of 1010721600 in words is "one billion, ten million, seven hundred twenty-one thousand, six hundred".