102386995200 has 936 divisors, whose sum is σ = 427806100800. Its totient is φ = 22920560640.

The previous prime is 102386995187. The next prime is 102386995213. The reversal of 102386995200 is 2599683201.

102386995200 is a `hidden beast` number, since 1 + 0 + 2 + 38 + 6 + 99 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102386995187) and next prime (102386995213).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 380620666 + ... + 380620934.

It is an arithmetic number, because the mean of its divisors is an integer number (457057800).

Almost surely, 2^102386995200 is an apocalyptic number.

102386995200 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 102386995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213903050400).

102386995200 is an abundant number, since it is smaller than the sum of its proper divisors (325419105600).

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

102386995200 is a wasteful number, since it uses less digits than its factorization.

102386995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 102386995200 in words is "one hundred two billion, three hundred eighty-six million, nine hundred ninety-five thousand, two hundred".