105521541000 has 128 divisors (see below), whose sum is σ = 330883488000. Its totient is φ = 27997516800.

The previous prime is 105521540981. The next prime is 105521541019. The reversal of 105521541000 is 145125501.

It is an interprime number because it is at equal distance from previous prime (105521540981) and next prime (105521541019).

It is a super-2 number, since 2×105521541000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508624 + ... + 685376.

It is an arithmetic number, because the mean of its divisors is an integer number (2585027250).

Almost surely, 2^105521541000 is an apocalyptic number.

105521541000 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 105521541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165441744000).

105521541000 is an abundant number, since it is smaller than the sum of its proper divisors (225361947000).

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

105521541000 is a wasteful number, since it uses less digits than its factorization.

105521541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176976 (or 176962 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

Adding to 105521541000 its reverse (145125501), we get a palindrome (105666666501).

The spelling of 105521541000 in words is "one hundred five billion, five hundred twenty-one million, five hundred forty-one thousand".