102148824651192 has 384 divisors, whose sum is σ = 326649307944960. Its totient is φ = 29602899342720.

The previous prime is 102148824651151. The next prime is 102148824651239. The reversal of 102148824651192 is 291156428841201.

102148824651192 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 8 + 82 + 46 + 511 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3220008243 + ... + 3220039965.

It is an arithmetic number, because the mean of its divisors is an integer number (850649239440).

Almost surely, 2^{102148824651192} is an apocalyptic number.

102148824651192 is a gapful number since it is divisible by the number (12) 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 102148824651192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163324653972480).

102148824651192 is an abundant number, since it is smaller than the sum of its proper divisors (224500483293768).

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

102148824651192 is a wasteful number, since it uses less digits than its factorization.

102148824651192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38325 (or 38309 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 102148824651192 in words is "one hundred two trillion, one hundred forty-eight billion, eight hundred twenty-four million, six hundred fifty-one thousand, one hundred ninety-two".