1023104000 has 88 divisors (see below), whose sum is σ = 2552740008. Its totient is φ = 409190400.

The previous prime is 1023103919. The next prime is 1023104051. The reversal of 1023104000 is 4013201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 197346304 + 825757696 = 14048^2 + 28736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124004 + ... + 131996.

Almost surely, 2^1023104000 is an apocalyptic number.

1023104000 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 1023104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276370004).

1023104000 is an abundant number, since it is smaller than the sum of its proper divisors (1529636008).

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

1023104000 is an frugal number, since it uses more digits than its factorization.

1023104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1023104000 is about 31985.9969361594. The cubic root of 1023104000 is about 1007.6427725513.

Adding to 1023104000 its reverse (4013201), we get a palindrome (1027117201).

It can be divided in two parts, 10 and 23104000, that multiplied together give a square (231040000 = 15200²).

The spelling of 1023104000 in words is "one billion, twenty-three million, one hundred four thousand".