1036104000 has 224 divisors, whose sum is σ = 3571865856. Its totient is φ = 264140800.

The previous prime is 1036103993. The next prime is 1036104061. The reversal of 1036104000 is 4016301.

It is a super-3 number, since 3×1036104000³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 551062 + ... + 552938.

Almost surely, 2^1036104000 is an apocalyptic number.

1036104000 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 1036104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785932928).

1036104000 is an abundant number, since it is smaller than the sum of its proper divisors (2535761856).

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

1036104000 is a wasteful number, since it uses less digits than its factorization.

1036104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1036104000 is about 32188.5693997108. The cubic root of 1036104000 is about 1011.8926703756.

The spelling of 1036104000 in words is "one billion, thirty-six million, one hundred four thousand".