1061100100560 has 320 divisors, whose sum is σ = 3453802156800. Its totient is φ = 269134086144.

The previous prime is 1061100100559. The next prime is 1061100100561. The reversal of 1061100100560 is 650010011601.

It is an interprime number because it is at equal distance from previous prime (1061100100559) and next prime (1061100100561).

It is a super-2 number, since 2×1061100100560² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061100100561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175298494 + ... + 175304546.

It is an arithmetic number, because the mean of its divisors is an integer number (10793131740).

Almost surely, 2^{1061100100560} is an apocalyptic number.

1061100100560 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 1061100100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726901078400).

1061100100560 is an abundant number, since it is smaller than the sum of its proper divisors (2392702056240).

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

1061100100560 is a wasteful number, since it uses less digits than its factorization.

1061100100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 1061100100560 in words is "one trillion, sixty-one billion, one hundred million, one hundred thousand, five hundred sixty".