105561055488 has 576 divisors, whose sum is σ = 341523947520. Its totient is φ = 28325707776.

The previous prime is 105561055477. The next prime is 105561055517. The reversal of 105561055488 is 884550165501.

It is a super-2 number, since 2×105561055488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088258256 + ... + 1088258352.

It is an arithmetic number, because the mean of its divisors is an integer number (592923520).

Almost surely, 2^105561055488 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 105561055488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170761973760).

105561055488 is an abundant number, since it is smaller than the sum of its proper divisors (235962892032).

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

105561055488 is an equidigital number, since it uses as much as digits as its factorization.

105561055488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 48.

The spelling of 105561055488 in words is "one hundred five billion, five hundred sixty-one million, fifty-five thousand, four hundred eighty-eight".