102200467600 has 240 divisors, whose sum is σ = 314400698496. Its totient is φ = 30993408000.

The previous prime is 102200467597. The next prime is 102200467627. The reversal of 102200467600 is 6764002201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094760 + ... + 1184440.

Almost surely, 2^102200467600 is an apocalyptic number.

102200467600 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 102200467600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157200349248).

102200467600 is an abundant number, since it is smaller than the sum of its proper divisors (212200230896).

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

102200467600 is a wasteful number, since it uses less digits than its factorization.

102200467600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89754 (or 89743 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 102200467600 its reverse (6764002201), we get a palindrome (108964469801).

The spelling of 102200467600 in words is "one hundred two billion, two hundred million, four hundred sixty-seven thousand, six hundred".