102200736 has 96 divisors (see below), whose sum is σ = 309935808. Its totient is φ = 29143040.

The previous prime is 102200717. The next prime is 102200779. The reversal of 102200736 is 637002201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15106 + ... + 20798.

It is an arithmetic number, because the mean of its divisors is an integer number (3228498).

Almost surely, 2^102200736 is an apocalyptic number.

102200736 is a gapful number since it is divisible by the number (16) 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 102200736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154967904).

102200736 is an abundant number, since it is smaller than the sum of its proper divisors (207735072).

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

102200736 is a wasteful number, since it uses less digits than its factorization.

102200736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 102200736 is about 10109.4379665736. The cubic root of 102200736 is about 467.5391767525.

Adding to 102200736 its reverse (637002201), we get a palindrome (739202937).

The spelling of 102200736 in words is "one hundred two million, two hundred thousand, seven hundred thirty-six".