1034102000 has 80 divisors (see below), whose sum is σ = 2561648544. Its totient is φ = 403520000.

The previous prime is 1034101997. The next prime is 1034102023. The reversal of 1034102000 is 2014301.

It is a happy number.

1034102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75695 + ... + 88305.

Almost surely, 2^1034102000 is an apocalyptic number.

1034102000 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 1034102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280824272).

1034102000 is an abundant number, since it is smaller than the sum of its proper divisors (1527546544).

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

1034102000 is a wasteful number, since it uses less digits than its factorization.

1034102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675 (or 12659 counting only the distinct ones).

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

The square root of 1034102000 is about 32157.4563670698. The cubic root of 1034102000 is about 1011.2405108400.

Adding to 1034102000 its reverse (2014301), we get a palindrome (1036116301).

The spelling of 1034102000 in words is "one billion, thirty-four million, one hundred two thousand".