105561315150 has 96 divisors (see below), whose sum is σ = 271204070400. Its totient is φ = 27140400000.

The previous prime is 105561315137. The next prime is 105561315151. The reversal of 105561315150 is 51513165501.

It is a super-2 number, since 2×105561315150² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105561315151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3110775 + ... + 3144525.

It is an arithmetic number, because the mean of its divisors is an integer number (2825042400).

Almost surely, 2^105561315150 is an apocalyptic number.

105561315150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105561315150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135602035200).

105561315150 is an abundant number, since it is smaller than the sum of its proper divisors (165642755250).

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

105561315150 is a wasteful number, since it uses less digits than its factorization.

105561315150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34514 (or 34509 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 33.

The spelling of 105561315150 in words is "one hundred five billion, five hundred sixty-one million, three hundred fifteen thousand, one hundred fifty".