905408100 has 243 divisors, whose sum is σ = 3066672427. Its totient is φ = 223388160.

The previous prime is 905408089. The next prime is 905408131. The reversal of 905408100 is 1804509.

The square root of 905408100 is 30090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21178404 + 884229696 = 4602^2 + 29736^2 .

It is a super-2 number, since 2×905408100² = 1639527655091220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15345871 + ... + 15345929.

Almost surely, 2^905408100 is an apocalyptic number.

905408100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

905408100 is the 30090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905408100

905408100 is an abundant number, since it is smaller than the sum of its proper divisors (2161264327).

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

905408100 is a wasteful number, since it uses less digits than its factorization.

905408100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 905408100 is about 967.4193991705.

The spelling of 905408100 in words is "nine hundred five million, four hundred eight thousand, one hundred".