102320253200 has 120 divisors (see below), whose sum is σ = 272569060416. Its totient is φ = 36597312000.

The previous prime is 102320253181. The next prime is 102320253227. The reversal of 102320253200 is 2352023201.

102320253200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102320253200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77789 + ... + 459011.

Almost surely, 2^102320253200 is an apocalyptic number.

102320253200 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 102320253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136284530208).

102320253200 is an abundant number, since it is smaller than the sum of its proper divisors (170248807216).

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

102320253200 is a wasteful number, since it uses less digits than its factorization.

102320253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381313 (or 381302 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 102320253200 its reverse (2352023201), we get a palindrome (104672276401).

The spelling of 102320253200 in words is "one hundred two billion, three hundred twenty million, two hundred fifty-three thousand, two hundred".