105250450520 has 64 divisors (see below), whose sum is σ = 245183112000. Its totient is φ = 40614665728.

The previous prime is 105250450517. The next prime is 105250450567. The reversal of 105250450520 is 25054052501.

It is a super-2 number, since 2×105250450520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381586 + ... + 1455774.

It is an arithmetic number, because the mean of its divisors is an integer number (3830986125).

Almost surely, 2^105250450520 is an apocalyptic number.

105250450520 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 105250450520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122591556000).

105250450520 is an abundant number, since it is smaller than the sum of its proper divisors (139932661480).

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

105250450520 is a wasteful number, since it uses less digits than its factorization.

105250450520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75452 (or 75448 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 29.

The spelling of 105250450520 in words is "one hundred five billion, two hundred fifty million, four hundred fifty thousand, five hundred twenty".