1035106668 has 96 divisors (see below), whose sum is σ = 2740651200. Its totient is φ = 337784832.

The previous prime is 1035106613. The next prime is 1035106669. The reversal of 1035106668 is 8666015301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1035106669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085680 + ... + 1086632.

It is an arithmetic number, because the mean of its divisors is an integer number (28548450).

Almost surely, 2^1035106668 is an apocalyptic number.

1035106668 is a gapful number since it is divisible by the number (18) 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 1035106668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370325600).

1035106668 is an abundant number, since it is smaller than the sum of its proper divisors (1705544532).

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

1035106668 is a wasteful number, since it uses less digits than its factorization.

1035106668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1035106668 is about 32173.0736486274. The cubic root of 1035106668 is about 1011.5678905841.

The spelling of 1035106668 in words is "one billion, thirty-five million, one hundred six thousand, six hundred sixty-eight".