1034012100 has 144 divisors (see below), whose sum is σ = 3275790336. Its totient is φ = 249744000.

The previous prime is 1034012093. The next prime is 1034012107. The reversal of 1034012100 is 12104301.

It is a happy number.

1034012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1034012093) and next prime (1034012107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1034012107) 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, 1421937 + ... + 1422663.

It is an arithmetic number, because the mean of its divisors is an integer number (22748544).

Almost surely, 2^1034012100 is an apocalyptic number.

1034012100 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 1034012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637895168).

1034012100 is an abundant number, since it is smaller than the sum of its proper divisors (2241778236).

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

1034012100 is a wasteful number, since it uses less digits than its factorization.

1034012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1034012100 is about 32156.0585271267. The cubic root of 1034012100 is about 1011.2112058145.

Adding to 1034012100 its reverse (12104301), we get a palindrome (1046116401).

It can be divided in two parts, 103401 and 2100, that added together give a palindrome (105501).

The spelling of 1034012100 in words is "one billion, thirty-four million, twelve thousand, one hundred".