105525041550 has 192 divisors, whose sum is σ = 275455226880. Its totient is φ = 26703198720.

The previous prime is 105525041549. The next prime is 105525041581. The reversal of 105525041550 is 55140525501.

105525041550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105525041550² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103556941 + ... + 103557959.

It is an arithmetic number, because the mean of its divisors is an integer number (1434662640).

Almost surely, 2^105525041550 is an apocalyptic number.

105525041550 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 105525041550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137727613440).

105525041550 is an abundant number, since it is smaller than the sum of its proper divisors (169930185330).

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

105525041550 is a wasteful number, since it uses less digits than its factorization.

105525041550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 33.

The spelling of 105525041550 in words is "one hundred five billion, five hundred twenty-five million, forty-one thousand, five hundred fifty".