1061106100 has 72 divisors (see below), whose sum is σ = 2353396248. Its totient is φ = 415180800.

The previous prime is 1061106097. The next prime is 1061106107. The reversal of 1061106100 is 16011601.

It can be written as a sum of positive squares in 12 ways, for example, as 143137296 + 917968804 = 11964^2 + 30298^2 .

It is a super-2 number, since 2×1061106100² = 2251892310914420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061106107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999570 + ... + 1000630.

It is an arithmetic number, because the mean of its divisors is an integer number (32686059).

Almost surely, 2^1061106100 is an apocalyptic number.

1061106100 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 1061106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176698124).

1061106100 is an abundant number, since it is smaller than the sum of its proper divisors (1292290148).

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

1061106100 is a wasteful number, since it uses less digits than its factorization.

1061106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1061106100 is about 32574.6235588379. The cubic root of 1061106100 is about 1019.9673512554.

Adding to 1061106100 its reverse (16011601), we get a palindrome (1077117701).

It can be divided in two parts, 1061 and 106100, that multiplied together give a square (112572100 = 10610²).

The spelling of 1061106100 in words is "one billion, sixty-one million, one hundred six thousand, one hundred".