102136000 has 112 divisors (see below), whose sum is σ = 268175232. Its totient is φ = 38400000.

The previous prime is 102135997. The next prime is 102136009. The reversal of 102136000 is 631201.

It is not an unprimeable number, because it can be changed into a prime (102136009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 135625 + ... + 136375.

Almost surely, 2^102136000 is an apocalyptic number.

102136000 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 102136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134087616).

102136000 is an abundant number, since it is smaller than the sum of its proper divisors (166039232).

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

102136000 is an equidigital number, since it uses as much as digits as its factorization.

102136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 102136000 is about 10106.2356988149. The cubic root of 102136000 is about 467.4404396655.

Adding to 102136000 its reverse (631201), we get a palindrome (102767201).

The spelling of 102136000 in words is "one hundred two million, one hundred thirty-six thousand".