105254525500 has 48 divisors (see below), whose sum is σ = 230301384768. Its totient is φ = 42023880000.

The previous prime is 105254525461. The next prime is 105254525501. The reversal of 105254525500 is 5525452501.

It is a super-2 number, since 2×105254525500² (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 (105254525501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75945 + ... + 465055.

It is an arithmetic number, because the mean of its divisors is an integer number (4797945516).

Almost surely, 2^105254525500 is an apocalyptic number.

105254525500 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 105254525500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115150692384).

105254525500 is an abundant number, since it is smaller than the sum of its proper divisors (125046859268).

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

105254525500 is a wasteful number, since it uses less digits than its factorization.

105254525500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389671 (or 389659 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 34.

The spelling of 105254525500 in words is "one hundred five billion, two hundred fifty-four million, five hundred twenty-five thousand, five hundred".