102009600 has 648 divisors, whose sum is σ = 474469632. Its totient is φ = 20275200.

The previous prime is 102009553. The next prime is 102009601. The reversal of 102009600 is 6900201.

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

It is not an unprimeable number, because it can be changed into a prime (102009601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4435189 + ... + 4435211.

Almost surely, 2^102009600 is an apocalyptic number.

102009600 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 102009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237234816).

102009600 is an abundant number, since it is smaller than the sum of its proper divisors (372460032).

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

102009600 is a wasteful number, since it uses less digits than its factorization.

102009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

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

The square root of 102009600 is about 10099.9801980004. The cubic root of 102009600 is about 467.2475306619.

Adding to 102009600 its reverse (6900201), we get a palindrome (108909801).

The spelling of 102009600 in words is "one hundred two million, nine thousand, six hundred".