105521241600 has 360 divisors, whose sum is σ = 385685894880. Its totient is φ = 27538882560.

The previous prime is 105521241571. The next prime is 105521241607. The reversal of 105521241600 is 6142125501.

105521241600 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 12 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×105521241600² (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 (105521241607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5404656 + ... + 5424144.

It is an arithmetic number, because the mean of its divisors is an integer number (1071349708).

Almost surely, 2^105521241600 is an apocalyptic number.

105521241600 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 105521241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192842947440).

105521241600 is an abundant number, since it is smaller than the sum of its proper divisors (280164653280).

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

105521241600 is a wasteful number, since it uses less digits than its factorization.

105521241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19570 (or 19546 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 105521241600 in words is "one hundred five billion, five hundred twenty-one million, two hundred forty-one thousand, six hundred".