1034114100 has 72 divisors (see below), whose sum is σ = 3010099008. Its totient is φ = 274099200.

The previous prime is 1034114041. The next prime is 1034114119. The reversal of 1034114100 is 14114301.

1034114100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1034114100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39780 + ... + 60420.

Almost surely, 2^1034114100 is an apocalyptic number.

1034114100 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 1034114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505049504).

1034114100 is an abundant number, since it is smaller than the sum of its proper divisors (1975984908).

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

1034114100 is a wasteful number, since it uses less digits than its factorization.

1034114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20825 (or 20818 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1034114100 is about 32157.6445032903. The cubic root of 1034114100 is about 1011.2444549907.

Adding to 1034114100 its reverse (14114301), we get a palindrome (1048228401).

The spelling of 1034114100 in words is "one billion, thirty-four million, one hundred fourteen thousand, one hundred".