105249248520 has 128 divisors (see below), whose sum is σ = 340120771200. Its totient is φ = 25901051904.

The previous prime is 105249248497. The next prime is 105249248521. The reversal of 105249248520 is 25842942501.

It is a super-2 number, since 2×105249248520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105249248521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10320544 + ... + 10330736.

It is an arithmetic number, because the mean of its divisors is an integer number (2657193525).

Almost surely, 2^105249248520 is an apocalyptic number.

105249248520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105249248520 is an abundant number, since it is smaller than the sum of its proper divisors (234871522680).

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

105249248520 is a wasteful number, since it uses less digits than its factorization.

105249248520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16839 (or 16835 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 105249248520 in words is "one hundred five billion, two hundred forty-nine million, two hundred forty-eight thousand, five hundred twenty".