1035900900 has 360 divisors, whose sum is σ = 3629767680. Its totient is φ = 254741760.

The previous prime is 1035900893. The next prime is 1035900911. The reversal of 1035900900 is 90095301.

It is a super-3 number, since 3×1035900900³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8156637 + ... + 8156763.

It is an arithmetic number, because the mean of its divisors is an integer number (10082688).

Almost surely, 2^1035900900 is an apocalyptic number.

1035900900 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 1035900900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814883840).

1035900900 is an abundant number, since it is smaller than the sum of its proper divisors (2593866780).

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

1035900900 is a wasteful number, since it uses less digits than its factorization.

1035900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 1035900900 is about 32185.4143984507. The cubic root of 1035900900 is about 1011.8265480458.

The spelling of 1035900900 in words is "one billion, thirty-five million, nine hundred thousand, nine hundred".