102200240 has 80 divisors (see below), whose sum is σ = 253912320. Its totient is φ = 38142720.

The previous prime is 102200239. The next prime is 102200261. The reversal of 102200240 is 42002201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107447 + ... + 108393.

It is an arithmetic number, because the mean of its divisors is an integer number (3173904).

Almost surely, 2^102200240 is an apocalyptic number.

102200240 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 102200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126956160).

102200240 is an abundant number, since it is smaller than the sum of its proper divisors (151712080).

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

102200240 is a wasteful number, since it uses less digits than its factorization.

102200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 102200240 is about 10109.4134350119. The cubic root of 102200240 is about 467.5384203985.

Adding to 102200240 its reverse (42002201), we get a palindrome (144202441).

The spelling of 102200240 in words is "one hundred two million, two hundred thousand, two hundred forty".