102005136 has 80 divisors (see below), whose sum is σ = 294028800. Its totient is φ = 33858432.

The previous prime is 102005077. The next prime is 102005173. The reversal of 102005136 is 631500201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 167745 + ... + 168351.

It is an arithmetic number, because the mean of its divisors is an integer number (3675360).

Almost surely, 2^102005136 is an apocalyptic number.

102005136 is a gapful number since it is divisible by the number (16) 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 102005136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147014400).

102005136 is an abundant number, since it is smaller than the sum of its proper divisors (192023664).

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

102005136 is a wasteful number, since it uses less digits than its factorization.

102005136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102005136 is about 10099.7592050504. The cubic root of 102005136 is about 467.2407148870.

Adding to 102005136 its reverse (631500201), we get a palindrome (733505337).

The spelling of 102005136 in words is "one hundred two million, five thousand, one hundred thirty-six".