105136000 has 64 divisors (see below), whose sum is σ = 261434160. Its totient is φ = 42048000.

The previous prime is 105135997. The next prime is 105136027. The reversal of 105136000 is 631501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105136000² = 22107156992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12715 + ... + 19285.

Almost surely, 2^105136000 is an apocalyptic number.

105136000 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 105136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130717080).

105136000 is an abundant number, since it is smaller than the sum of its proper divisors (156298160).

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

105136000 is an frugal number, since it uses more digits than its factorization.

105136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105136000 is about 10253.5847390071. The cubic root of 105136000 is about 471.9729947204.

Adding to 105136000 its reverse (631501), we get a palindrome (105767501).

The spelling of 105136000 in words is "one hundred five million, one hundred thirty-six thousand".