1066100436 has 72 divisors (see below), whose sum is σ = 2847237120. Its totient is φ = 335797056.

The previous prime is 1066100411. The next prime is 1066100437. The reversal of 1066100436 is 6340016601.

1066100436 is a `hidden beast` number, since 1 + 0 + 6 + 610 + 0 + 43 + 6 = 666.

It is a super-2 number, since 2×1066100436² = 2273140279278780192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066100437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38205 + ... + 59931.

It is an arithmetic number, because the mean of its divisors is an integer number (39544960).

Almost surely, 2^1066100436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066100436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423618560).

1066100436 is an abundant number, since it is smaller than the sum of its proper divisors (1781136684).

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

1066100436 is a wasteful number, since it uses less digits than its factorization.

1066100436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21813 (or 21808 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1066100436 is about 32651.1934850780. The cubic root of 1066100436 is about 1021.5650828988.

The spelling of 1066100436 in words is "one billion, sixty-six million, one hundred thousand, four hundred thirty-six".