105541532100 has 108 divisors (see below), whose sum is σ = 331046155440. Its totient is φ = 28124664000.

The previous prime is 105541532087. The next prime is 105541532171. The reversal of 105541532100 is 1235145501.

105541532100 is a `hidden beast` number, since 1 + 0 + 554 + 1 + 5 + 3 + 2 + 100 = 666.

It is a super-2 number, since 2×105541532100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1265491 + ... + 1346309.

It is an arithmetic number, because the mean of its divisors is an integer number (3065242180).

Almost surely, 2^105541532100 is an apocalyptic number.

105541532100 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 105541532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165523077720).

105541532100 is an abundant number, since it is smaller than the sum of its proper divisors (225504623340).

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

105541532100 is a wasteful number, since it uses less digits than its factorization.

105541532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82290 (or 82280 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 105541532100 its reverse (1235145501), we get a palindrome (106776677601).

The spelling of 105541532100 in words is "one hundred five billion, five hundred forty-one million, five hundred thirty-two thousand, one hundred".