10950900 has 72 divisors (see below), whose sum is σ = 32018784. Its totient is φ = 2889600.

The previous prime is 10950889. The next prime is 10950911. The reversal of 10950900 is 905901.

It is a happy number.

10950900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10950889) and next prime (10950911).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51795 + ... + 52005.

Almost surely, 2^10950900 is an apocalyptic number.

10950900 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 10950900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16009392).

10950900 is an abundant number, since it is smaller than the sum of its proper divisors (21067884).

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

10950900 is a wasteful number, since it uses less digits than its factorization.

10950900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 10950900 is about 3309.2144082848. The cubic root of 10950900 is about 222.0666142112.

The spelling of 10950900 in words is "ten million, nine hundred fifty thousand, nine hundred".