105242305524 has 48 divisors (see below), whose sum is σ = 246123796800. Its totient is φ = 35001077760.

The previous prime is 105242305523. The next prime is 105242305537. The reversal of 105242305524 is 425503242501.

It is a happy number.

It is a super-2 number, since 2×105242305524² (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 (105242305523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13064682 + ... + 13072734.

It is an arithmetic number, because the mean of its divisors is an integer number (5127579100).

Almost surely, 2^105242305524 is an apocalyptic number.

It is an amenable number.

105242305524 is an abundant number, since it is smaller than the sum of its proper divisors (140881491276).

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

105242305524 is a wasteful number, since it uses less digits than its factorization.

105242305524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10400 (or 10398 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 105242305524 in words is "one hundred five billion, two hundred forty-two million, three hundred five thousand, five hundred twenty-four".