100561116546 has 80 divisors (see below), whose sum is σ = 246459552768. Its totient is φ = 30393295200.

The previous prime is 100561116433. The next prime is 100561116547. The reversal of 100561116546 is 645611165001.

100561116546 is a `hidden beast` number, since 100 + 5 + 6 + 1 + 1 + 1 + 6 + 546 = 666.

It is a super-2 number, since 2×100561116546² (a number of 23 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 100561116546.

It is not an unprimeable number, because it can be changed into a prime (100561116547) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 608836 + ... + 756176.

Almost surely, 2^100561116546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100561116546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123229776384).

100561116546 is an abundant number, since it is smaller than the sum of its proper divisors (145898436222).

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

100561116546 is a wasteful number, since it uses less digits than its factorization.

100561116546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147749 (or 147740 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 100561116546 in words is "one hundred billion, five hundred sixty-one million, one hundred sixteen thousand, five hundred forty-six".