903968100 has 360 divisors, whose sum is σ = 3402907200. Its totient is φ = 203316480.

The previous prime is 903968017. The next prime is 903968137. The reversal of 903968100 is 1869309.

It is a super-4 number, since 4×903968100⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

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, 6066826 + ... + 6066974.

It is an arithmetic number, because the mean of its divisors is an integer number (9452520).

Almost surely, 2^903968100 is an apocalyptic number.

903968100 is a gapful number since it is divisible by the number (90) 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 903968100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701453600).

903968100 is an abundant number, since it is smaller than the sum of its proper divisors (2498939100).

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

903968100 is a wasteful number, since it uses less digits than its factorization.

903968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 903968100 is about 30066.0622629569. The cubic root of 903968100 is about 966.9062518843.

The spelling of 903968100 in words is "nine hundred three million, nine hundred sixty-eight thousand, one hundred".