10900000 has 72 divisors (see below), whose sum is σ = 27068580. Its totient is φ = 4320000.

The previous prime is 10899989. The next prime is 10900007. The reversal of 10900000 is 901.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 685584 + 10214416 = 828^2 + 3196^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10900000.

It is not an unprimeable number, because it can be changed into a prime (10900007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99946 + ... + 100054.

Almost surely, 2^10900000 is an apocalyptic number.

10900000 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 10900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13534290).

10900000 is an abundant number, since it is smaller than the sum of its proper divisors (16168580).

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

10900000 is an frugal number, since it uses more digits than its factorization.

10900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 10900000 is about 3301.5148038438. The cubic root of 10900000 is about 221.7220230967.

Adding to 10900000 its reverse (901), we get a palindrome (10900901).

It can be divided in two parts, 10 and 900000, that multiplied together give a square (9000000 = 3000²).

The spelling of 10900000 in words is "ten million, nine hundred thousand".