102721600 has 168 divisors, whose sum is σ = 277164800. Its totient is φ = 37324800.

The previous prime is 102721573. The next prime is 102721603. The reversal of 102721600 is 6127201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (102721603) 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 23 ways as a sum of consecutive naturals, for example, 942346 + ... + 942454.

Almost surely, 2^102721600 is an apocalyptic number.

102721600 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 102721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138582400).

102721600 is an abundant number, since it is smaller than the sum of its proper divisors (174443200).

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

102721600 is a wasteful number, since it uses less digits than its factorization.

102721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 102721600 is about 10135.1665008524. The cubic root of 102721600 is about 468.3320992469.

Adding to 102721600 its reverse (6127201), we get a palindrome (108848801).

The spelling of 102721600 in words is "one hundred two million, seven hundred twenty-one thousand, six hundred".