105286537000 has 64 divisors (see below), whose sum is σ = 246560371200. Its totient is φ = 42082158400.

The previous prime is 105286536991. The next prime is 105286537001. The reversal of 105286537000 is 735682501.

It is a super-2 number, since 2×105286537000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105286537001) 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, 1279089 + ... + 1358911.

It is an arithmetic number, because the mean of its divisors is an integer number (3852505800).

Almost surely, 2^105286537000 is an apocalyptic number.

105286537000 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 105286537000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123280185600).

105286537000 is an abundant number, since it is smaller than the sum of its proper divisors (141273834200).

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

105286537000 is a wasteful number, since it uses less digits than its factorization.

105286537000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81163 (or 81149 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 105286537000 in words is "one hundred five billion, two hundred eighty-six million, five hundred thirty-seven thousand".