102721200 has 60 divisors (see below), whose sum is σ = 329054088. Its totient is φ = 27392000.

The previous prime is 102721153. The next prime is 102721211. The reversal of 102721200 is 2127201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102721200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41601 + ... + 44000.

Almost surely, 2^102721200 is an apocalyptic number.

102721200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102721200 is an abundant number, since it is smaller than the sum of its proper divisors (226332888).

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

102721200 is a wasteful number, since it uses less digits than its factorization.

102721200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85622 (or 85611 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 102721200 is about 10135.1467675609. The cubic root of 102721200 is about 468.3314913478.

Adding to 102721200 its reverse (2127201), we get a palindrome (104848401).

The spelling of 102721200 in words is "one hundred two million, seven hundred twenty-one thousand, two hundred".