102495882384 has 400 divisors, whose sum is σ = 361870553088. Its totient is φ = 27339669504.

The previous prime is 102495882383. The next prime is 102495882523. The reversal of 102495882384 is 483288594201.

102495882384 is a `hidden beast` number, since 1 + 0 + 24 + 9 + 588 + 2 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 102495882384.

It is not an unprimeable number, because it can be changed into a prime (102495882383) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 19583832 + ... + 19589064.

Almost surely, 2^102495882384 is an apocalyptic number.

102495882384 is a gapful number since it is divisible by the number (14) 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 102495882384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180935276544).

102495882384 is an abundant number, since it is smaller than the sum of its proper divisors (259374670704).

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

102495882384 is a wasteful number, since it uses less digits than its factorization.

102495882384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 102495882384 in words is "one hundred two billion, four hundred ninety-five million, eight hundred eighty-two thousand, three hundred eighty-four".