102090600 has 144 divisors (see below), whose sum is σ = 351093600. Its totient is φ = 26570880.

The previous prime is 102090589. The next prime is 102090617. The reversal of 102090600 is 6090201.

Added to its reverse (6090201) it gives a square (108180801 = 10401²).

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76741 + ... + 78059.

It is an arithmetic number, because the mean of its divisors is an integer number (2438150).

Almost surely, 2^102090600 is an apocalyptic number.

102090600 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 102090600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175546800).

102090600 is an abundant number, since it is smaller than the sum of its proper divisors (249003000).

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

102090600 is a wasteful number, since it uses less digits than its factorization.

102090600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 102090600 is about 10103.9893111582. The cubic root of 102090600 is about 467.3711694730.

Adding to 102090600 its reverse (6090201), we get a square (108180801 = 10401²).

The spelling of 102090600 in words is "one hundred two million, ninety thousand, six hundred".