10490900 has 54 divisors (see below), whose sum is σ = 26494398. Its totient is φ = 3595200.

The previous prime is 10490891. The next prime is 10490933. The reversal of 10490900 is 909401.

It can be written as a sum of positive squares in 3 ways, for example, as 2729104 + 7761796 = 1652^2 + 2786^2 .

It is a super-2 number, since 2×10490900² = 220117965620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3830 + ... + 5970.

It is an arithmetic number, because the mean of its divisors is an integer number (490637).

Almost surely, 2^10490900 is an apocalyptic number.

10490900 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 10490900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247199).

10490900 is an abundant number, since it is smaller than the sum of its proper divisors (16003498).

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

10490900 is a wasteful number, since it uses less digits than its factorization.

10490900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 10490900 is about 3238.9658843526. The cubic root of 10490900 is about 218.9126789897.

The spelling of 10490900 in words is "ten million, four hundred ninety thousand, nine hundred".