102192330240 has 1920 divisors, whose sum is σ = 498433098240. Its totient is φ = 19508428800.

The previous prime is 102192330209. The next prime is 102192330241. The reversal of 102192330240 is 42033291201.

It is a happy number.

102192330240 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 92 + 330 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102192330241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 484323735 + ... + 484323945.

It is an arithmetic number, because the mean of its divisors is an integer number (259600572).

Almost surely, 2^102192330240 is an apocalyptic number.

102192330240 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 102192330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249216549120).

102192330240 is an abundant number, since it is smaller than the sum of its proper divisors (396240768000).

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

102192330240 is a wasteful number, since it uses less digits than its factorization.

102192330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 102192330240 in words is "one hundred two billion, one hundred ninety-two million, three hundred thirty thousand, two hundred forty".