105524210214 has 64 divisors (see below), whose sum is σ = 239593697280. Its totient is φ = 34411083840.

The previous prime is 105524210189. The next prime is 105524210237. The reversal of 105524210214 is 412012425501.

It is a happy number.

105524210214 is a `hidden beast` number, since 1 + 0 + 552 + 4 + 2 + 102 + 1 + 4 = 666.

It is a super-2 number, since 2×105524210214² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6674659 + ... + 6690449.

It is an arithmetic number, because the mean of its divisors is an integer number (3743651520).

Almost surely, 2^105524210214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105524210214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119796848640).

105524210214 is an abundant number, since it is smaller than the sum of its proper divisors (134069487066).

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

105524210214 is a wasteful number, since it uses less digits than its factorization.

105524210214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18482 (or 18476 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 105524210214 its reverse (412012425501), we get a palindrome (517536635715).

The spelling of 105524210214 in words is "one hundred five billion, five hundred twenty-four million, two hundred ten thousand, two hundred fourteen".