10950000 has 120 divisors (see below), whose sum is σ = 35841456. Its totient is φ = 2880000.

The previous prime is 10949971. The next prime is 10950007. The reversal of 10950000 is 5901.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10950007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149964 + ... + 150036.

Almost surely, 2^10950000 is an apocalyptic number.

10950000 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 10950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17920728).

10950000 is an abundant number, since it is smaller than the sum of its proper divisors (24891456).

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

10950000 is an frugal number, since it uses more digits than its factorization.

10950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 10950000 is about 3309.0784215549. The cubic root of 10950000 is about 222.0605305278.

Adding to 10950000 its reverse (5901), we get a palindrome (10955901).

The spelling of 10950000 in words is "ten million, nine hundred fifty thousand".