10990100 has 72 divisors (see below), whose sum is σ = 26539968. Its totient is φ = 3916800.

The previous prime is 10990093. The next prime is 10990117. The reversal of 10990100 is 109901.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 106649 + ... + 106751.

Almost surely, 2^10990100 is an apocalyptic number.

10990100 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 10990100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269984).

10990100 is an abundant number, since it is smaller than the sum of its proper divisors (15549868).

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

10990100 is a wasteful number, since it uses less digits than its factorization.

10990100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 10990100 is about 3315.1319732403. The cubic root of 10990100 is about 222.3312696284.

Multiplying 10990100 by its reverse (109901), we get a square (1207822980100 = 1099010²).

10990100 divided by its reverse (109901) gives a square (100 = 10²).

It can be divided in two parts, 109 and 90100, that added together give a palindrome (90209).

The spelling of 10990100 in words is "ten million, nine hundred ninety thousand, one hundred".