1021104000 has 384 divisors, whose sum is σ = 4195039680. Its totient is φ = 233164800.

The previous prime is 1021103983. The next prime is 1021104001. The reversal of 1021104000 is 4011201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021104001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007494 + ... + 1008506.

Almost surely, 2^1021104000 is an apocalyptic number.

1021104000 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 1021104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097519840).

1021104000 is an abundant number, since it is smaller than the sum of its proper divisors (3173935680).

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

1021104000 is a wasteful number, since it uses less digits than its factorization.

1021104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1021104000 is about 31954.7179615155. The cubic root of 1021104000 is about 1006.9857522949.

Adding to 1021104000 its reverse (4011201), we get a palindrome (1025115201).

The spelling of 1021104000 in words is "one billion, twenty-one million, one hundred four thousand".