1061266716100 has 72 divisors (see below), whose sum is σ = 2335890493440. Its totient is φ = 418451953920.

The previous prime is 1061266716073. The next prime is 1061266716101. The reversal of 1061266716100 is 16176621601.

It is a super-2 number, since 2×1061266716100² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1061266716100.

It is not an unprimeable number, because it can be changed into a prime (1061266716101) 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, 4765437 + ... + 4983163.

It is an arithmetic number, because the mean of its divisors is an integer number (32442923520).

Almost surely, 2^{1061266716100} is an apocalyptic number.

1061266716100 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 1061266716100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167945246720).

1061266716100 is an abundant number, since it is smaller than the sum of its proper divisors (1274623777340).

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

1061266716100 is a wasteful number, since it uses less digits than its factorization.

1061266716100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218437 (or 218430 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 1061266716100 in words is "one trillion, sixty-one billion, two hundred sixty-six million, seven hundred sixteen thousand, one hundred".