105858275000 has 96 divisors (see below), whose sum is σ = 248538780000. Its totient is φ = 42266640000.

The previous prime is 105858274999. The next prime is 105858275023. The reversal of 105858275000 is 572858501.

It is a super-2 number, since 2×105858275000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14971466 + ... + 14978534.

It is an arithmetic number, because the mean of its divisors is an integer number (2588945625).

Almost surely, 2^105858275000 is an apocalyptic number.

105858275000 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 105858275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124269390000).

105858275000 is an abundant number, since it is smaller than the sum of its proper divisors (142680505000).

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

105858275000 is an frugal number, since it uses more digits than its factorization.

105858275000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 41.

The spelling of 105858275000 in words is "one hundred five billion, eight hundred fifty-eight million, two hundred seventy-five thousand".