1042100000 has 144 divisors (see below), whose sum is σ = 2719654056. Its totient is φ = 391680000.

The previous prime is 1042099991. The next prime is 1042100041. The reversal of 1042100000 is 12401.

1042100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 703098256 + 339001744 = 26516^2 + 18412^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1699694 + ... + 1700306.

Almost surely, 2^1042100000 is an apocalyptic number.

1042100000 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 1042100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359827028).

1042100000 is an abundant number, since it is smaller than the sum of its proper divisors (1677554056).

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

1042100000 is an frugal number, since it uses more digits than its factorization.

1042100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1042100000 is about 32281.5736915040. The cubic root of 1042100000 is about 1013.8408795543.

Adding to 1042100000 its reverse (12401), we get a palindrome (1042112401).

The spelling of 1042100000 in words is "one billion, forty-two million, one hundred thousand".