10996100 has 18 divisors (see below), whose sum is σ = 23861754. Its totient is φ = 4398400.

The previous prime is 10996091. The next prime is 10996109. The reversal of 10996100 is 169901.

It is an interprime number because it is at equal distance from previous prime (10996091) and next prime (10996109).

It can be written as a sum of positive squares in 3 ways, for example, as 3334276 + 7661824 = 1826^2 + 2768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10996100.

It is not an unprimeable number, because it can be changed into a prime (10996109) 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 5 ways as a sum of consecutive naturals, for example, 54881 + ... + 55080.

It is an arithmetic number, because the mean of its divisors is an integer number (1325653).

Almost surely, 2^10996100 is an apocalyptic number.

10996100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10996100 is an abundant number, since it is smaller than the sum of its proper divisors (12865654).

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

10996100 is a wasteful number, since it uses less digits than its factorization.

10996100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109975 (or 109968 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 10996100 is about 3316.0367911107. The cubic root of 10996100 is about 222.3717225490.

The spelling of 10996100 in words is "ten million, nine hundred ninety-six thousand, one hundred".